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Finding the Fourth Proportional to 9,711.87, 13,400.38 and 5,677.92

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Solution

The fourth proportional to 9,711.87, 13,400.38 and 5,677.92 is: 7,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.87 : 13,400.38 = 5,677.92 : x
  2. Step 2: Convert to fraction form
    9,711.87/13,400.38 = 5,677.92/x
  3. Step 3: Cross multiply
    9,711.87x = 13,400.38 × 5,677.92
  4. Step 4: Simplify right side
    9,711.87x = 76,086,304.92
  5. Step 5: Solve for x
    x = 76,086,304.92/9,711.87
  6. Step 6: Final answer
    x = 7,834.36

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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.