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Finding the Fourth Proportional to 8,032.87, 12,003.26 and 6,122.62

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Solution

The fourth proportional to 8,032.87, 12,003.26 and 6,122.62 is: 9,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.87 : 12,003.26 = 6,122.62 : x
  2. Step 2: Convert to fraction form
    8,032.87/12,003.26 = 6,122.62/x
  3. Step 3: Cross multiply
    8,032.87x = 12,003.26 × 6,122.62
  4. Step 4: Simplify right side
    8,032.87x = 73,491,399.74
  5. Step 5: Solve for x
    x = 73,491,399.74/8,032.87
  6. Step 6: Final answer
    x = 9,148.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.