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Finding the Fourth Proportional to 6,139.68, 9,209.82 and 1,757.18

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Solution

The fourth proportional to 6,139.68, 9,209.82 and 1,757.18 is: 2,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.68 : 9,209.82 = 1,757.18 : x
  2. Step 2: Convert to fraction form
    6,139.68/9,209.82 = 1,757.18/x
  3. Step 3: Cross multiply
    6,139.68x = 9,209.82 × 1,757.18
  4. Step 4: Simplify right side
    6,139.68x = 16,183,265.46
  5. Step 5: Solve for x
    x = 16,183,265.46/6,139.68
  6. Step 6: Final answer
    x = 2,635.85

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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.