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Finding the Fourth Proportional to 6,680.72, 9,972.10 and 6,200.24

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Solution

The fourth proportional to 6,680.72, 9,972.10 and 6,200.24 is: 9,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.72 : 9,972.10 = 6,200.24 : x
  2. Step 2: Convert to fraction form
    6,680.72/9,972.10 = 6,200.24/x
  3. Step 3: Cross multiply
    6,680.72x = 9,972.10 × 6,200.24
  4. Step 4: Simplify right side
    6,680.72x = 61,829,413.30
  5. Step 5: Solve for x
    x = 61,829,413.30/6,680.72
  6. Step 6: Final answer
    x = 9,254.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.