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Finding the Fourth Proportional to 6,449.27, 9,673.50 and 3,850.25

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Solution

The fourth proportional to 6,449.27, 9,673.50 and 3,850.25 is: 5,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.27 : 9,673.50 = 3,850.25 : x
  2. Step 2: Convert to fraction form
    6,449.27/9,673.50 = 3,850.25/x
  3. Step 3: Cross multiply
    6,449.27x = 9,673.50 × 3,850.25
  4. Step 4: Simplify right side
    6,449.27x = 37,245,393.38
  5. Step 5: Solve for x
    x = 37,245,393.38/6,449.27
  6. Step 6: Final answer
    x = 5,775.13

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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.