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Finding the Fourth Proportional to 6,631.74, 9,947.61 and 2,249.24

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Solution

The fourth proportional to 6,631.74, 9,947.61 and 2,249.24 is: 3,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.74 : 9,947.61 = 2,249.24 : x
  2. Step 2: Convert to fraction form
    6,631.74/9,947.61 = 2,249.24/x
  3. Step 3: Cross multiply
    6,631.74x = 9,947.61 × 2,249.24
  4. Step 4: Simplify right side
    6,631.74x = 22,374,512.58
  5. Step 5: Solve for x
    x = 22,374,512.58/6,631.74
  6. Step 6: Final answer
    x = 3,373.85

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