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Finding the Fourth Proportional to 6,062.12, 9,098.56 and 3,142.40

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Solution

The fourth proportional to 6,062.12, 9,098.56 and 3,142.40 is: 4,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.12 : 9,098.56 = 3,142.40 : x
  2. Step 2: Convert to fraction form
    6,062.12/9,098.56 = 3,142.40/x
  3. Step 3: Cross multiply
    6,062.12x = 9,098.56 × 3,142.40
  4. Step 4: Simplify right side
    6,062.12x = 28,591,314.94
  5. Step 5: Solve for x
    x = 28,591,314.94/6,062.12
  6. Step 6: Final answer
    x = 4,716.39

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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.