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Finding the Fourth Proportional to 6,496.26, 8,964.72 and 3,977.97

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Solution

The fourth proportional to 6,496.26, 8,964.72 and 3,977.97 is: 5,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.26 : 8,964.72 = 3,977.97 : x
  2. Step 2: Convert to fraction form
    6,496.26/8,964.72 = 3,977.97/x
  3. Step 3: Cross multiply
    6,496.26x = 8,964.72 × 3,977.97
  4. Step 4: Simplify right side
    6,496.26x = 35,661,387.22
  5. Step 5: Solve for x
    x = 35,661,387.22/6,496.26
  6. Step 6: Final answer
    x = 5,489.53

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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.