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Finding the Fourth Proportional to 6,200.46, 9,292.78 and 2,906.30

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Solution

The fourth proportional to 6,200.46, 9,292.78 and 2,906.30 is: 4,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.46 : 9,292.78 = 2,906.30 : x
  2. Step 2: Convert to fraction form
    6,200.46/9,292.78 = 2,906.30/x
  3. Step 3: Cross multiply
    6,200.46x = 9,292.78 × 2,906.30
  4. Step 4: Simplify right side
    6,200.46x = 27,007,545.52
  5. Step 5: Solve for x
    x = 27,007,545.52/6,200.46
  6. Step 6: Final answer
    x = 4,355.73

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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.