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Finding the Fourth Proportional to 9,900.33, 14,847.31 and 5,217.72

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Solution

The fourth proportional to 9,900.33, 14,847.31 and 5,217.72 is: 7,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.33 : 14,847.31 = 5,217.72 : x
  2. Step 2: Convert to fraction form
    9,900.33/14,847.31 = 5,217.72/x
  3. Step 3: Cross multiply
    9,900.33x = 14,847.31 × 5,217.72
  4. Step 4: Simplify right side
    9,900.33x = 77,469,106.33
  5. Step 5: Solve for x
    x = 77,469,106.33/9,900.33
  6. Step 6: Final answer
    x = 7,824.90

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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.