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Finding the Fourth Proportional to 9,932.38, 13,707.42 and 6,156.29

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Solution

The fourth proportional to 9,932.38, 13,707.42 and 6,156.29 is: 8,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.38 : 13,707.42 = 6,156.29 : x
  2. Step 2: Convert to fraction form
    9,932.38/13,707.42 = 6,156.29/x
  3. Step 3: Cross multiply
    9,932.38x = 13,707.42 × 6,156.29
  4. Step 4: Simplify right side
    9,932.38x = 84,386,761.05
  5. Step 5: Solve for x
    x = 84,386,761.05/9,932.38
  6. Step 6: Final answer
    x = 8,496.13

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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.