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Finding the Fourth Proportional to 6,025.32, 9,033.12 and 3,424.68

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Solution

The fourth proportional to 6,025.32, 9,033.12 and 3,424.68 is: 5,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025.32 : 9,033.12 = 3,424.68 : x
  2. Step 2: Convert to fraction form
    6,025.32/9,033.12 = 3,424.68/x
  3. Step 3: Cross multiply
    6,025.32x = 9,033.12 × 3,424.68
  4. Step 4: Simplify right side
    6,025.32x = 30,935,545.40
  5. Step 5: Solve for x
    x = 30,935,545.40/6,025.32
  6. Step 6: Final answer
    x = 5,134.26

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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.