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Finding the Fourth Proportional to 6,489.48, 9,734.17 and 2,541.12

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Solution

The fourth proportional to 6,489.48, 9,734.17 and 2,541.12 is: 3,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.48 : 9,734.17 = 2,541.12 : x
  2. Step 2: Convert to fraction form
    6,489.48/9,734.17 = 2,541.12/x
  3. Step 3: Cross multiply
    6,489.48x = 9,734.17 × 2,541.12
  4. Step 4: Simplify right side
    6,489.48x = 24,735,694.07
  5. Step 5: Solve for x
    x = 24,735,694.07/6,489.48
  6. Step 6: Final answer
    x = 3,811.66

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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.