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Finding the Fourth Proportional to 7,073.52, 9,761.32 and 3,929.68

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Solution

The fourth proportional to 7,073.52, 9,761.32 and 3,929.68 is: 5,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.52 : 9,761.32 = 3,929.68 : x
  2. Step 2: Convert to fraction form
    7,073.52/9,761.32 = 3,929.68/x
  3. Step 3: Cross multiply
    7,073.52x = 9,761.32 × 3,929.68
  4. Step 4: Simplify right side
    7,073.52x = 38,358,863.98
  5. Step 5: Solve for x
    x = 38,358,863.98/7,073.52
  6. Step 6: Final answer
    x = 5,422.88

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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.