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Finding the Fourth Proportional to 9,170.83, 13,729.42 and 8,295.36

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Solution

The fourth proportional to 9,170.83, 13,729.42 and 8,295.36 is: 12,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.83 : 13,729.42 = 8,295.36 : x
  2. Step 2: Convert to fraction form
    9,170.83/13,729.42 = 8,295.36/x
  3. Step 3: Cross multiply
    9,170.83x = 13,729.42 × 8,295.36
  4. Step 4: Simplify right side
    9,170.83x = 113,890,481.49
  5. Step 5: Solve for x
    x = 113,890,481.49/9,170.83
  6. Step 6: Final answer
    x = 12,418.78

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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.