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Finding the Fourth Proportional to 9,200.39, 12,691.14 and 6,508.59

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Solution

The fourth proportional to 9,200.39, 12,691.14 and 6,508.59 is: 8,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.39 : 12,691.14 = 6,508.59 : x
  2. Step 2: Convert to fraction form
    9,200.39/12,691.14 = 6,508.59/x
  3. Step 3: Cross multiply
    9,200.39x = 12,691.14 × 6,508.59
  4. Step 4: Simplify right side
    9,200.39x = 82,601,426.89
  5. Step 5: Solve for x
    x = 82,601,426.89/9,200.39
  6. Step 6: Final answer
    x = 8,978.04

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