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Finding the Fourth Proportional to 8,965.20, 13,443.24 and 3,414.36

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Solution

The fourth proportional to 8,965.20, 13,443.24 and 3,414.36 is: 5,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.20 : 13,443.24 = 3,414.36 : x
  2. Step 2: Convert to fraction form
    8,965.20/13,443.24 = 3,414.36/x
  3. Step 3: Cross multiply
    8,965.20x = 13,443.24 × 3,414.36
  4. Step 4: Simplify right side
    8,965.20x = 45,900,060.93
  5. Step 5: Solve for x
    x = 45,900,060.93/8,965.20
  6. Step 6: Final answer
    x = 5,119.80

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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.