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Finding the Fourth Proportional to 9,937.71, 13,713.17 and 5,961.02

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Solution

The fourth proportional to 9,937.71, 13,713.17 and 5,961.02 is: 8,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.71 : 13,713.17 = 5,961.02 : x
  2. Step 2: Convert to fraction form
    9,937.71/13,713.17 = 5,961.02/x
  3. Step 3: Cross multiply
    9,937.71x = 13,713.17 × 5,961.02
  4. Step 4: Simplify right side
    9,937.71x = 81,744,382.26
  5. Step 5: Solve for x
    x = 81,744,382.26/9,937.71
  6. Step 6: Final answer
    x = 8,225.68

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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.