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Finding the Fourth Proportional to 8,514.38, 12,773.14 and 3,834.50

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Solution

The fourth proportional to 8,514.38, 12,773.14 and 3,834.50 is: 5,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.38 : 12,773.14 = 3,834.50 : x
  2. Step 2: Convert to fraction form
    8,514.38/12,773.14 = 3,834.50/x
  3. Step 3: Cross multiply
    8,514.38x = 12,773.14 × 3,834.50
  4. Step 4: Simplify right side
    8,514.38x = 48,978,605.33
  5. Step 5: Solve for x
    x = 48,978,605.33/8,514.38
  6. Step 6: Final answer
    x = 5,752.46

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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.