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Finding the Fourth Proportional to 6,033.92, 9,057.28 and 5,344.96

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Solution

The fourth proportional to 6,033.92, 9,057.28 and 5,344.96 is: 8,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.92 : 9,057.28 = 5,344.96 : x
  2. Step 2: Convert to fraction form
    6,033.92/9,057.28 = 5,344.96/x
  3. Step 3: Cross multiply
    6,033.92x = 9,057.28 × 5,344.96
  4. Step 4: Simplify right side
    6,033.92x = 48,410,799.31
  5. Step 5: Solve for x
    x = 48,410,799.31/6,033.92
  6. Step 6: Final answer
    x = 8,023.11

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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.