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Finding the Fourth Proportional to 9,937.62, 13,708.98 and 5,957.82

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Solution

The fourth proportional to 9,937.62, 13,708.98 and 5,957.82 is: 8,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.62 : 13,708.98 = 5,957.82 : x
  2. Step 2: Convert to fraction form
    9,937.62/13,708.98 = 5,957.82/x
  3. Step 3: Cross multiply
    9,937.62x = 13,708.98 × 5,957.82
  4. Step 4: Simplify right side
    9,937.62x = 81,675,635.22
  5. Step 5: Solve for x
    x = 81,675,635.22/9,937.62
  6. Step 6: Final answer
    x = 8,218.83

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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.