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Finding the Fourth Proportional to 9,937.68, 13,711.32 and 6,399.60

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Solution

The fourth proportional to 9,937.68, 13,711.32 and 6,399.60 is: 8,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.68 : 13,711.32 = 6,399.60 : x
  2. Step 2: Convert to fraction form
    9,937.68/13,711.32 = 6,399.60/x
  3. Step 3: Cross multiply
    9,937.68x = 13,711.32 × 6,399.60
  4. Step 4: Simplify right side
    9,937.68x = 87,746,963.47
  5. Step 5: Solve for x
    x = 87,746,963.47/9,937.68
  6. Step 6: Final answer
    x = 8,829.72

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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.