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Finding the Fourth Proportional to 6,164.73, 9,247.10 and 5,630.13

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Solution

The fourth proportional to 6,164.73, 9,247.10 and 5,630.13 is: 8,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.73 : 9,247.10 = 5,630.13 : x
  2. Step 2: Convert to fraction form
    6,164.73/9,247.10 = 5,630.13/x
  3. Step 3: Cross multiply
    6,164.73x = 9,247.10 × 5,630.13
  4. Step 4: Simplify right side
    6,164.73x = 52,062,346.97
  5. Step 5: Solve for x
    x = 52,062,346.97/6,164.73
  6. Step 6: Final answer
    x = 8,445.20

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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.