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Finding the Fourth Proportional to 6,542.08, 9,862.16 and 6,107.60

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Solution

The fourth proportional to 6,542.08, 9,862.16 and 6,107.60 is: 9,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.08 : 9,862.16 = 6,107.60 : x
  2. Step 2: Convert to fraction form
    6,542.08/9,862.16 = 6,107.60/x
  3. Step 3: Cross multiply
    6,542.08x = 9,862.16 × 6,107.60
  4. Step 4: Simplify right side
    6,542.08x = 60,234,128.42
  5. Step 5: Solve for x
    x = 60,234,128.42/6,542.08
  6. Step 6: Final answer
    x = 9,207.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.