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Finding the Fourth Proportional to 9,684.45, 14,512.82 and 5,515.85

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Solution

The fourth proportional to 9,684.45, 14,512.82 and 5,515.85 is: 8,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.45 : 14,512.82 = 5,515.85 : x
  2. Step 2: Convert to fraction form
    9,684.45/14,512.82 = 5,515.85/x
  3. Step 3: Cross multiply
    9,684.45x = 14,512.82 × 5,515.85
  4. Step 4: Simplify right side
    9,684.45x = 80,050,546.90
  5. Step 5: Solve for x
    x = 80,050,546.90/9,684.45
  6. Step 6: Final answer
    x = 8,265.88

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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.