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Finding the Fourth Proportional to 6,708.38, 9,257.13 and 3,724.21

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Solution

The fourth proportional to 6,708.38, 9,257.13 and 3,724.21 is: 5,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.38 : 9,257.13 = 3,724.21 : x
  2. Step 2: Convert to fraction form
    6,708.38/9,257.13 = 3,724.21/x
  3. Step 3: Cross multiply
    6,708.38x = 9,257.13 × 3,724.21
  4. Step 4: Simplify right side
    6,708.38x = 34,475,496.12
  5. Step 5: Solve for x
    x = 34,475,496.12/6,708.38
  6. Step 6: Final answer
    x = 5,139.17

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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.