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Finding the Fourth Proportional to 9,864.60, 13,616.92 and 6,088.38

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Solution

The fourth proportional to 9,864.60, 13,616.92 and 6,088.38 is: 8,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.60 : 13,616.92 = 6,088.38 : x
  2. Step 2: Convert to fraction form
    9,864.60/13,616.92 = 6,088.38/x
  3. Step 3: Cross multiply
    9,864.60x = 13,616.92 × 6,088.38
  4. Step 4: Simplify right side
    9,864.60x = 82,904,983.39
  5. Step 5: Solve for x
    x = 82,904,983.39/9,864.60
  6. Step 6: Final answer
    x = 8,404.29

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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.