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Finding the Fourth Proportional to 6,374.13, 9,561.19 and 1,757.13

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Solution

The fourth proportional to 6,374.13, 9,561.19 and 1,757.13 is: 2,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.13 : 9,561.19 = 1,757.13 : x
  2. Step 2: Convert to fraction form
    6,374.13/9,561.19 = 1,757.13/x
  3. Step 3: Cross multiply
    6,374.13x = 9,561.19 × 1,757.13
  4. Step 4: Simplify right side
    6,374.13x = 16,800,253.78
  5. Step 5: Solve for x
    x = 16,800,253.78/6,374.13
  6. Step 6: Final answer
    x = 2,635.69

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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.