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Finding the Fourth Proportional to 9,742, 13,443.96 and 5,326

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Solution

The fourth proportional to 9,742, 13,443.96 and 5,326 is: 7,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 13,443.96 = 5,326 : x
  2. Step 2: Convert to fraction form
    9,742/13,443.96 = 5,326/x
  3. Step 3: Cross multiply
    9,742x = 13,443.96 × 5,326
  4. Step 4: Simplify right side
    9,742x = 71,602,530.96
  5. Step 5: Solve for x
    x = 71,602,530.96/9,742
  6. Step 6: Final answer
    x = 7,349.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.