Find the value of \( x \). \( \begin{array}{l}\frac{3 x-4}{14}=\frac{9}{10} \\ \text { a. } 3.5 \\ \text { b. } 5.5 \\ \text { c. } 55 \\ \text { d. } 15.5\end{array} \)

To find the value of \( x \), we can start by cross-multiplying the equation: \[ (3x - 4) \cdot 10 = 9 \cdot 14 \] This simplifies to: \[ 30x - 40 = 126 \] Next, we can solve for \( x \) by adding 40 to both sides: \[ 30x = 166 \] Now, divide both sides by 30: \[ x = \frac{166}{30} = \frac{83}{15} \approx 5.53 \] Since \( 5.53 \) is closest to option **b. 5.5**, the answer is: \[ \text{b. } 5.5 \]