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Finding the Fourth Proportional to 6,343.26, 9,514.89 and 3,744.78

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Solution

The fourth proportional to 6,343.26, 9,514.89 and 3,744.78 is: 5,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.26 : 9,514.89 = 3,744.78 : x
  2. Step 2: Convert to fraction form
    6,343.26/9,514.89 = 3,744.78/x
  3. Step 3: Cross multiply
    6,343.26x = 9,514.89 × 3,744.78
  4. Step 4: Simplify right side
    6,343.26x = 35,631,169.77
  5. Step 5: Solve for x
    x = 35,631,169.77/6,343.26
  6. Step 6: Final answer
    x = 5,617.17

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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.