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Finding the Fourth Proportional to 6,297.26, 9,445.68 and 3,381.26

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Solution

The fourth proportional to 6,297.26, 9,445.68 and 3,381.26 is: 5,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.26 : 9,445.68 = 3,381.26 : x
  2. Step 2: Convert to fraction form
    6,297.26/9,445.68 = 3,381.26/x
  3. Step 3: Cross multiply
    6,297.26x = 9,445.68 × 3,381.26
  4. Step 4: Simplify right side
    6,297.26x = 31,938,299.96
  5. Step 5: Solve for x
    x = 31,938,299.96/6,297.26
  6. Step 6: Final answer
    x = 5,071.78

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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.