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Finding the Fourth Proportional to 6,132.48, 9,204.16 and 4,046.64

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Solution

The fourth proportional to 6,132.48, 9,204.16 and 4,046.64 is: 6,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.48 : 9,204.16 = 4,046.64 : x
  2. Step 2: Convert to fraction form
    6,132.48/9,204.16 = 4,046.64/x
  3. Step 3: Cross multiply
    6,132.48x = 9,204.16 × 4,046.64
  4. Step 4: Simplify right side
    6,132.48x = 37,245,922.02
  5. Step 5: Solve for x
    x = 37,245,922.02/6,132.48
  6. Step 6: Final answer
    x = 6,073.55

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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.