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Finding the Fourth Proportional to 8,409.41, 12,614.10 and 3,966.03

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Solution

The fourth proportional to 8,409.41, 12,614.10 and 3,966.03 is: 5,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.41 : 12,614.10 = 3,966.03 : x
  2. Step 2: Convert to fraction form
    8,409.41/12,614.10 = 3,966.03/x
  3. Step 3: Cross multiply
    8,409.41x = 12,614.10 × 3,966.03
  4. Step 4: Simplify right side
    8,409.41x = 50,027,899.02
  5. Step 5: Solve for x
    x = 50,027,899.02/8,409.41
  6. Step 6: Final answer
    x = 5,949.04

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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.