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Finding the Fourth Proportional to 9,339.40, 14,073.19 and 7,732.12

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Solution

The fourth proportional to 9,339.40, 14,073.19 and 7,732.12 is: 11,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.40 : 14,073.19 = 7,732.12 : x
  2. Step 2: Convert to fraction form
    9,339.40/14,073.19 = 7,732.12/x
  3. Step 3: Cross multiply
    9,339.40x = 14,073.19 × 7,732.12
  4. Step 4: Simplify right side
    9,339.40x = 108,815,593.86
  5. Step 5: Solve for x
    x = 108,815,593.86/9,339.40
  6. Step 6: Final answer
    x = 11,651.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.