To solve the equation \( \frac{4x}{9} = 18 \), follow these steps:
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Multiply both sides by 9 to eliminate the fraction: \[ 4x = 18 \times 9 \] \[ 4x = 162 \]
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Next, divide both sides by 4 to solve for \( x \): \[ x = \frac{162}{4} \] \[ x = 40.5 \]
Thus, the solution is \( x = 40.5 \).