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Finding the Fourth Proportional to 8,861.85, 12,227.15 and 5,714.25

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Solution

The fourth proportional to 8,861.85, 12,227.15 and 5,714.25 is: 7,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,861.85 : 12,227.15 = 5,714.25 : x
  2. Step 2: Convert to fraction form
    8,861.85/12,227.15 = 5,714.25/x
  3. Step 3: Cross multiply
    8,861.85x = 12,227.15 × 5,714.25
  4. Step 4: Simplify right side
    8,861.85x = 69,868,963.32
  5. Step 5: Solve for x
    x = 69,868,963.32/8,861.85
  6. Step 6: Final answer
    x = 7,884.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.