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Finding the Fourth Proportional to 6,141.30, 9,209.24 and 1,757.76

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Solution

The fourth proportional to 6,141.30, 9,209.24 and 1,757.76 is: 2,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.30 : 9,209.24 = 1,757.76 : x
  2. Step 2: Convert to fraction form
    6,141.30/9,209.24 = 1,757.76/x
  3. Step 3: Cross multiply
    6,141.30x = 9,209.24 × 1,757.76
  4. Step 4: Simplify right side
    6,141.30x = 16,187,633.70
  5. Step 5: Solve for x
    x = 16,187,633.70/6,141.30
  6. Step 6: Final answer
    x = 2,635.86

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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.