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Finding the Fourth Proportional to 6,257.97, 9,389.69 and 2,361.46

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Solution

The fourth proportional to 6,257.97, 9,389.69 and 2,361.46 is: 3,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.97 : 9,389.69 = 2,361.46 : x
  2. Step 2: Convert to fraction form
    6,257.97/9,389.69 = 2,361.46/x
  3. Step 3: Cross multiply
    6,257.97x = 9,389.69 × 2,361.46
  4. Step 4: Simplify right side
    6,257.97x = 22,173,377.35
  5. Step 5: Solve for x
    x = 22,173,377.35/6,257.97
  6. Step 6: Final answer
    x = 3,543.22

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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.