To solve for \( x \) in the equation:
\[ \frac{4x}{9} = 18 \]
First, multiply both sides of the equation by 9 to eliminate the fraction:
\[ 4x = 18 \times 9 \]
Calculating \( 18 \times 9 \):
\[ 18 \times 9 = 162 \]
So the equation simplifies to:
\[ 4x = 162 \]
Next, divide both sides by 4:
\[ x = \frac{162}{4} \]
Calculating \( \frac{162}{4} \):
\[ \frac{162}{4} = 40.5 \]
Thus, the solution is:
\[ x = 40.5 \]
The correct response from the choices is 40.5.
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