Question

solve for q in the proportion.
\frac{9}{q} = \frac{3}{2}
q = \square
submit

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{9}{q}=\frac{3}{2}$, we use the cross - multiplication property of proportions. If $\frac{a}{b}=\frac{c}{d}$, then $a\times d = b\times c$. So, we have $9\times2=3\times q$.
$$9\times2 = 3q$$
$$18 = 3q$$

Step2: Solve for q

We divide both sides of the equation $18 = 3q$ by 3 to isolate $q$.
$$q=\frac{18}{3}$$
$$q = 6$$

Answer:

6