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Finding the Fourth Proportional to 9,319.97, 12,857.32 and 5,540.99

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Solution

The fourth proportional to 9,319.97, 12,857.32 and 5,540.99 is: 7,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.97 : 12,857.32 = 5,540.99 : x
  2. Step 2: Convert to fraction form
    9,319.97/12,857.32 = 5,540.99/x
  3. Step 3: Cross multiply
    9,319.97x = 12,857.32 × 5,540.99
  4. Step 4: Simplify right side
    9,319.97x = 71,242,221.70
  5. Step 5: Solve for x
    x = 71,242,221.70/9,319.97
  6. Step 6: Final answer
    x = 7,644.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.