To solve the expression \( (9) \div \left(\frac{5}{4}\right) \times \left(\frac{7}{9}\right) \times (-5) \div (72) \), we can follow the order of operations by simplifying each step clearly.
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Dividing by a fraction: Dividing by a fraction is equivalent to multiplying by its reciprocal.
\[ 9 \div \left(\frac{5}{4}\right) = 9 \times \left(\frac{4}{5}\right) = \frac{9 \times 4}{5} = \frac{36}{5} \]
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Now substitute this back into the expression:
\[ \frac{36}{5} \times \left(\frac{7}{9}\right) \times (-5) \div 72 \]
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Multiply the fractions:
\[ \frac{36}{5} \times \frac{7}{9} = \frac{36 \times 7}{5 \times 9} = \frac{252}{45} \]
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Simplify \( \frac{252}{45} \):
Both 252 and 45 can be divided by 9:
\[ \frac{252 \div 9}{45 \div 9} = \frac{28}{5} \]
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Now we multiply by -5:
\[ \frac{28}{5} \times (-5) = \frac{28 \times -5}{5} = -28 \]
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Finally, divide by 72:
\[ -28 \div 72 = \frac{-28}{72} \]
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Simplify \(\frac{-28}{72}\):
Both -28 and 72 can be divided by 4:
\[ \frac{-28 \div 4}{72 \div 4} = \frac{-7}{18} \]
Thus, the final result of the expression \( (9) \div \left(\frac{5}{4}\right) \times \left(\frac{7}{9}\right) \times (-5) \div (72) \) is:
\[ \boxed{\frac{-7}{18}} \]