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Finding the Fourth Proportional to 6,407.34, 9,613.89 and 3,481.26

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Solution

The fourth proportional to 6,407.34, 9,613.89 and 3,481.26 is: 5,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.34 : 9,613.89 = 3,481.26 : x
  2. Step 2: Convert to fraction form
    6,407.34/9,613.89 = 3,481.26/x
  3. Step 3: Cross multiply
    6,407.34x = 9,613.89 × 3,481.26
  4. Step 4: Simplify right side
    6,407.34x = 33,468,450.70
  5. Step 5: Solve for x
    x = 33,468,450.70/6,407.34
  6. Step 6: Final answer
    x = 5,223.45

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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.