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Finding the Fourth Proportional to 8,409.73, 12,614.60 and 3,906.34

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Solution

The fourth proportional to 8,409.73, 12,614.60 and 3,906.34 is: 5,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.73 : 12,614.60 = 3,906.34 : x
  2. Step 2: Convert to fraction form
    8,409.73/12,614.60 = 3,906.34/x
  3. Step 3: Cross multiply
    8,409.73x = 12,614.60 × 3,906.34
  4. Step 4: Simplify right side
    8,409.73x = 49,276,916.56
  5. Step 5: Solve for x
    x = 49,276,916.56/8,409.73
  6. Step 6: Final answer
    x = 5,859.51

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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.