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Finding the Fourth Proportional to 8,409.48, 12,614.22 and 2,566.04

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Solution

The fourth proportional to 8,409.48, 12,614.22 and 2,566.04 is: 3,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.48 : 12,614.22 = 2,566.04 : x
  2. Step 2: Convert to fraction form
    8,409.48/12,614.22 = 2,566.04/x
  3. Step 3: Cross multiply
    8,409.48x = 12,614.22 × 2,566.04
  4. Step 4: Simplify right side
    8,409.48x = 32,368,593.09
  5. Step 5: Solve for x
    x = 32,368,593.09/8,409.48
  6. Step 6: Final answer
    x = 3,849.06

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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.