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Finding the Fourth Proportional to 6,481.25, 9,740.15 and 3,849.20

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Solution

The fourth proportional to 6,481.25, 9,740.15 and 3,849.20 is: 5,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.25 : 9,740.15 = 3,849.20 : x
  2. Step 2: Convert to fraction form
    6,481.25/9,740.15 = 3,849.20/x
  3. Step 3: Cross multiply
    6,481.25x = 9,740.15 × 3,849.20
  4. Step 4: Simplify right side
    6,481.25x = 37,491,717.43
  5. Step 5: Solve for x
    x = 37,491,717.43/6,481.25
  6. Step 6: Final answer
    x = 5,784.65

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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.