To solve the given proportion [tex]\( \frac{9}{81} = \frac{x}{9} \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Set Up the Proportion:
The given proportion is:
[tex]\[
\frac{9}{81} = \frac{x}{9}
\][/tex]
2. Cross-Multiply:
Cross-multiplication helps to eliminate the fractions. Cross-multiply the two fractions:
[tex]\[
9 \times 9 = 81 \times x
\][/tex]
which simplifies to:
[tex]\[
81 = 81x
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 81:
[tex]\[
x = \frac{81}{81}
\][/tex]
Simplifying the right-hand side:
[tex]\[
x = 1
\][/tex]
4. Conclusion:
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 1 \)[/tex].
Given the choices:
- A. 9
- B. 3
- C. 18
- D. 1
The correct answer is:
D. 1
