To solve the proportion [tex]\(\frac{x}{12.6} = \frac{45}{63}\)[/tex], follow these steps:
1. Set up the proportion:
[tex]\[
\frac{x}{12.6} = \frac{45}{63}
\][/tex]
2. Cross-multiply to solve for [tex]\(x\)[/tex]:
[tex]\[
x \cdot 63 = 45 \cdot 12.6
\][/tex]
3. Calculate the right-hand side:
[tex]\[
45 \times 12.6 = 567
\][/tex]
4. Now, divide both sides by 63 to isolate [tex]\(x\)[/tex]:
[tex]\[
x = \frac{567}{63}
\][/tex]
5. Perform the division:
[tex]\[
x = 9
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is:
A. 9
