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Finding the Fourth Proportional to 6,301.26, 9,451.68 and 3,385.26

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Solution

The fourth proportional to 6,301.26, 9,451.68 and 3,385.26 is: 5,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.26 : 9,451.68 = 3,385.26 : x
  2. Step 2: Convert to fraction form
    6,301.26/9,451.68 = 3,385.26/x
  3. Step 3: Cross multiply
    6,301.26x = 9,451.68 × 3,385.26
  4. Step 4: Simplify right side
    6,301.26x = 31,996,394.24
  5. Step 5: Solve for x
    x = 31,996,394.24/6,301.26
  6. Step 6: Final answer
    x = 5,077.78

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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.