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Finding the Fourth Proportional to 8,446.06, 12,672.33 and 3,514.38

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Solution

The fourth proportional to 8,446.06, 12,672.33 and 3,514.38 is: 5,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.06 : 12,672.33 = 3,514.38 : x
  2. Step 2: Convert to fraction form
    8,446.06/12,672.33 = 3,514.38/x
  3. Step 3: Cross multiply
    8,446.06x = 12,672.33 × 3,514.38
  4. Step 4: Simplify right side
    8,446.06x = 44,535,383.11
  5. Step 5: Solve for x
    x = 44,535,383.11/8,446.06
  6. Step 6: Final answer
    x = 5,272.92

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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.