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Finding the Fourth Proportional to 6,531.95, 9,799.34 and 2,149.31

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Solution

The fourth proportional to 6,531.95, 9,799.34 and 2,149.31 is: 3,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.95 : 9,799.34 = 2,149.31 : x
  2. Step 2: Convert to fraction form
    6,531.95/9,799.34 = 2,149.31/x
  3. Step 3: Cross multiply
    6,531.95x = 9,799.34 × 2,149.31
  4. Step 4: Simplify right side
    6,531.95x = 21,061,819.46
  5. Step 5: Solve for x
    x = 21,061,819.46/6,531.95
  6. Step 6: Final answer
    x = 3,224.43

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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.