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Finding the Fourth Proportional to 8,414.46, 12,617.26 and 4,467.94

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Solution

The fourth proportional to 8,414.46, 12,617.26 and 4,467.94 is: 6,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.46 : 12,617.26 = 4,467.94 : x
  2. Step 2: Convert to fraction form
    8,414.46/12,617.26 = 4,467.94/x
  3. Step 3: Cross multiply
    8,414.46x = 12,617.26 × 4,467.94
  4. Step 4: Simplify right side
    8,414.46x = 56,373,160.64
  5. Step 5: Solve for x
    x = 56,373,160.64/8,414.46
  6. Step 6: Final answer
    x = 6,699.56

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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.