Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 148: 21

$x=9$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{x}{6}=\dfrac{3}{2} ,$ is \begin{array}{l}\require{cancel} 2(x)=6(3) \\\\ 2x=18 \\\\ x=\dfrac{18}{2} \\\\ x=9 .\end{array}