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Finding the Fourth Proportional to 6,137.49, 9,200.85 and 2,188.14

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Solution

The fourth proportional to 6,137.49, 9,200.85 and 2,188.14 is: 3,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.49 : 9,200.85 = 2,188.14 : x
  2. Step 2: Convert to fraction form
    6,137.49/9,200.85 = 2,188.14/x
  3. Step 3: Cross multiply
    6,137.49x = 9,200.85 × 2,188.14
  4. Step 4: Simplify right side
    6,137.49x = 20,132,747.92
  5. Step 5: Solve for x
    x = 20,132,747.92/6,137.49
  6. Step 6: Final answer
    x = 3,280.29

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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.