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Finding the Fourth Proportional to 8,414.02, 12,625.38 and 3,737.26

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Solution

The fourth proportional to 8,414.02, 12,625.38 and 3,737.26 is: 5,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.02 : 12,625.38 = 3,737.26 : x
  2. Step 2: Convert to fraction form
    8,414.02/12,625.38 = 3,737.26/x
  3. Step 3: Cross multiply
    8,414.02x = 12,625.38 × 3,737.26
  4. Step 4: Simplify right side
    8,414.02x = 47,184,327.66
  5. Step 5: Solve for x
    x = 47,184,327.66/8,414.02
  6. Step 6: Final answer
    x = 5,607.82

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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.