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Finding the Fourth Proportional to 6,200.38, 9,292.34 and 4,549.20

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Solution

The fourth proportional to 6,200.38, 9,292.34 and 4,549.20 is: 6,817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.38 : 9,292.34 = 4,549.20 : x
  2. Step 2: Convert to fraction form
    6,200.38/9,292.34 = 4,549.20/x
  3. Step 3: Cross multiply
    6,200.38x = 9,292.34 × 4,549.20
  4. Step 4: Simplify right side
    6,200.38x = 42,272,713.13
  5. Step 5: Solve for x
    x = 42,272,713.13/6,200.38
  6. Step 6: Final answer
    x = 6,817.76

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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.