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Finding the Fourth Proportional to 6,208.76, 8,568.09 and 3,414.26

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Solution

The fourth proportional to 6,208.76, 8,568.09 and 3,414.26 is: 4,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.76 : 8,568.09 = 3,414.26 : x
  2. Step 2: Convert to fraction form
    6,208.76/8,568.09 = 3,414.26/x
  3. Step 3: Cross multiply
    6,208.76x = 8,568.09 × 3,414.26
  4. Step 4: Simplify right side
    6,208.76x = 29,253,669.89
  5. Step 5: Solve for x
    x = 29,253,669.89/6,208.76
  6. Step 6: Final answer
    x = 4,711.68

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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.