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Finding the Fourth Proportional to 6,512.20, 9,775.89 and 3,398.15

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Solution

The fourth proportional to 6,512.20, 9,775.89 and 3,398.15 is: 5,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.20 : 9,775.89 = 3,398.15 : x
  2. Step 2: Convert to fraction form
    6,512.20/9,775.89 = 3,398.15/x
  3. Step 3: Cross multiply
    6,512.20x = 9,775.89 × 3,398.15
  4. Step 4: Simplify right side
    6,512.20x = 33,219,965.04
  5. Step 5: Solve for x
    x = 33,219,965.04/6,512.20
  6. Step 6: Final answer
    x = 5,101.19

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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.