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Finding the Fourth Proportional to 6,209.26, 8,568.93 and 3,414.76

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Solution

The fourth proportional to 6,209.26, 8,568.93 and 3,414.76 is: 4,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.26 : 8,568.93 = 3,414.76 : x
  2. Step 2: Convert to fraction form
    6,209.26/8,568.93 = 3,414.76/x
  3. Step 3: Cross multiply
    6,209.26x = 8,568.93 × 3,414.76
  4. Step 4: Simplify right side
    6,209.26x = 29,260,839.41
  5. Step 5: Solve for x
    x = 29,260,839.41/6,209.26
  6. Step 6: Final answer
    x = 4,712.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.