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Finding the Fourth Proportional to 8,441.46, 12,663.22 and 3,514.44

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Solution

The fourth proportional to 8,441.46, 12,663.22 and 3,514.44 is: 5,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.46 : 12,663.22 = 3,514.44 : x
  2. Step 2: Convert to fraction form
    8,441.46/12,663.22 = 3,514.44/x
  3. Step 3: Cross multiply
    8,441.46x = 12,663.22 × 3,514.44
  4. Step 4: Simplify right side
    8,441.46x = 44,504,126.90
  5. Step 5: Solve for x
    x = 44,504,126.90/8,441.46
  6. Step 6: Final answer
    x = 5,272.09

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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.