To solve for the variable [tex]\( x \)[/tex] in the equation
[tex]\[
\frac{9}{4} = \frac{x}{5}
\][/tex]
we can use the method of cross multiplication.
1. Set up the equation:
[tex]\[
\frac{9}{4} = \frac{x}{5}
\][/tex]
2. Cross multiply:
Cross multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction and setting it equal to the product of the denominator of the first fraction and the numerator of the second fraction. Thus, we get:
[tex]\[
9 \cdot 5 = 4 \cdot x
\][/tex]
This simplifies to:
[tex]\[
45 = 4x
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by 4:
[tex]\[
x = \frac{45}{4}
\][/tex]
4. Convert the fraction to a decimal:
Divide 45 by 4:
[tex]\[
x = 11.25
\][/tex]
Therefore,
[tex]\[
x = 11.25
\][/tex]
