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Finding the Fourth Proportional to 6,298.26, 9,447.18 and 3,382.26

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Solution

The fourth proportional to 6,298.26, 9,447.18 and 3,382.26 is: 5,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.26 : 9,447.18 = 3,382.26 : x
  2. Step 2: Convert to fraction form
    6,298.26/9,447.18 = 3,382.26/x
  3. Step 3: Cross multiply
    6,298.26x = 9,447.18 × 3,382.26
  4. Step 4: Simplify right side
    6,298.26x = 31,952,819.03
  5. Step 5: Solve for x
    x = 31,952,819.03/6,298.26
  6. Step 6: Final answer
    x = 5,073.28

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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.