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Finding the Fourth Proportional to 6,123.13, 8,449.92 and 3,639.13

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Solution

The fourth proportional to 6,123.13, 8,449.92 and 3,639.13 is: 5,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.13 : 8,449.92 = 3,639.13 : x
  2. Step 2: Convert to fraction form
    6,123.13/8,449.92 = 3,639.13/x
  3. Step 3: Cross multiply
    6,123.13x = 8,449.92 × 3,639.13
  4. Step 4: Simplify right side
    6,123.13x = 30,750,296.92
  5. Step 5: Solve for x
    x = 30,750,296.92/6,123.13
  6. Step 6: Final answer
    x = 5,021.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.