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Finding the Fourth Proportional to 9,982.97, 13,780.92 and 6,447.90

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Solution

The fourth proportional to 9,982.97, 13,780.92 and 6,447.90 is: 8,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.97 : 13,780.92 = 6,447.90 : x
  2. Step 2: Convert to fraction form
    9,982.97/13,780.92 = 6,447.90/x
  3. Step 3: Cross multiply
    9,982.97x = 13,780.92 × 6,447.90
  4. Step 4: Simplify right side
    9,982.97x = 88,857,961.83
  5. Step 5: Solve for x
    x = 88,857,961.83/9,982.97
  6. Step 6: Final answer
    x = 8,900.96

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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.