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Finding the Fourth Proportional to 8,737.12, 13,105.68 and 2,894.14

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Solution

The fourth proportional to 8,737.12, 13,105.68 and 2,894.14 is: 4,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.12 : 13,105.68 = 2,894.14 : x
  2. Step 2: Convert to fraction form
    8,737.12/13,105.68 = 2,894.14/x
  3. Step 3: Cross multiply
    8,737.12x = 13,105.68 × 2,894.14
  4. Step 4: Simplify right side
    8,737.12x = 37,929,672.72
  5. Step 5: Solve for x
    x = 37,929,672.72/8,737.12
  6. Step 6: Final answer
    x = 4,341.21

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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.