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Finding the Fourth Proportional to 6,209.34, 8,568.74 and 3,376.68

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Solution

The fourth proportional to 6,209.34, 8,568.74 and 3,376.68 is: 4,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.34 : 8,568.74 = 3,376.68 : x
  2. Step 2: Convert to fraction form
    6,209.34/8,568.74 = 3,376.68/x
  3. Step 3: Cross multiply
    6,209.34x = 8,568.74 × 3,376.68
  4. Step 4: Simplify right side
    6,209.34x = 28,933,876.10
  5. Step 5: Solve for x
    x = 28,933,876.10/6,209.34
  6. Step 6: Final answer
    x = 4,659.73

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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.