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Finding the Fourth Proportional to 6,209.85, 8,568.63 and 3,691.90

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Solution

The fourth proportional to 6,209.85, 8,568.63 and 3,691.90 is: 5,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.85 : 8,568.63 = 3,691.90 : x
  2. Step 2: Convert to fraction form
    6,209.85/8,568.63 = 3,691.90/x
  3. Step 3: Cross multiply
    6,209.85x = 8,568.63 × 3,691.90
  4. Step 4: Simplify right side
    6,209.85x = 31,634,503.68
  5. Step 5: Solve for x
    x = 31,634,503.68/6,209.85
  6. Step 6: Final answer
    x = 5,094.25

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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.