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Finding the Fourth Proportional to 7,132.48, 9,841.16 and 4,146.64

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Solution

The fourth proportional to 7,132.48, 9,841.16 and 4,146.64 is: 5,721.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.48 : 9,841.16 = 4,146.64 : x
  2. Step 2: Convert to fraction form
    7,132.48/9,841.16 = 4,146.64/x
  3. Step 3: Cross multiply
    7,132.48x = 9,841.16 × 4,146.64
  4. Step 4: Simplify right side
    7,132.48x = 40,807,747.70
  5. Step 5: Solve for x
    x = 40,807,747.70/7,132.48
  6. Step 6: Final answer
    x = 5,721.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.