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Finding the Fourth Proportional to 6,200.38, 9,292.33 and 4,549.19

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Solution

The fourth proportional to 6,200.38, 9,292.33 and 4,549.19 is: 6,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.38 : 9,292.33 = 4,549.19 : x
  2. Step 2: Convert to fraction form
    6,200.38/9,292.33 = 4,549.19/x
  3. Step 3: Cross multiply
    6,200.38x = 9,292.33 × 4,549.19
  4. Step 4: Simplify right side
    6,200.38x = 42,272,574.71
  5. Step 5: Solve for x
    x = 42,272,574.71/6,200.38
  6. Step 6: Final answer
    x = 6,817.74

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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.