a (w)/(6)=(6)/(9) Solve the proportion: 6 square 3

To solve the proportion $\frac{w}{6} = \frac{6}{9}$, we can use cross-multiplication. Cross-multiplication is a method used to solve proportions where two ratios are equal to each other.<br /><br />Cross-multiplication involves multiplying the numerator of the first ratio by the denominator of the second ratio and setting it equal to the product of the denominator of the first ratio and the numerator of the second ratio.<br /><br />In this case, we can cross-multiply as follows:<br /><br />$w \cdot 9 = 6 \cdot 6$<br /><br />Simplifying the equation, we have:<br /><br />$9w = 36$<br /><br />To solve for $w$, we divide both sides of the equation by 9:<br /><br />$\frac{9w}{9} = \frac{36}{9}$<br /><br />Simplifying further, we get:<br /><br />$w = 4$<br /><br />Therefore, the solution to the proportion $\frac{w}{6} = \frac{6}{9}$ is $w = 4$.