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Finding the Fourth Proportional to 9,686.97, 14,517.69 and 3,840.39

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Solution

The fourth proportional to 9,686.97, 14,517.69 and 3,840.39 is: 5,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.97 : 14,517.69 = 3,840.39 : x
  2. Step 2: Convert to fraction form
    9,686.97/14,517.69 = 3,840.39/x
  3. Step 3: Cross multiply
    9,686.97x = 14,517.69 × 3,840.39
  4. Step 4: Simplify right side
    9,686.97x = 55,753,591.50
  5. Step 5: Solve for x
    x = 55,753,591.50/9,686.97
  6. Step 6: Final answer
    x = 5,755.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.