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Finding the Fourth Proportional to 9,380.85, 14,067.12 and 2,805.78

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Solution

The fourth proportional to 9,380.85, 14,067.12 and 2,805.78 is: 4,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.85 : 14,067.12 = 2,805.78 : x
  2. Step 2: Convert to fraction form
    9,380.85/14,067.12 = 2,805.78/x
  3. Step 3: Cross multiply
    9,380.85x = 14,067.12 × 2,805.78
  4. Step 4: Simplify right side
    9,380.85x = 39,469,201.72
  5. Step 5: Solve for x
    x = 39,469,201.72/9,380.85
  6. Step 6: Final answer
    x = 4,207.42

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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.