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Finding the Fourth Proportional to 6,209.87, 8,568.16 and 4,197.03

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Solution

The fourth proportional to 6,209.87, 8,568.16 and 4,197.03 is: 5,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.87 : 8,568.16 = 4,197.03 : x
  2. Step 2: Convert to fraction form
    6,209.87/8,568.16 = 4,197.03/x
  3. Step 3: Cross multiply
    6,209.87x = 8,568.16 × 4,197.03
  4. Step 4: Simplify right side
    6,209.87x = 35,960,830.14
  5. Step 5: Solve for x
    x = 35,960,830.14/6,209.87
  6. Step 6: Final answer
    x = 5,790.91

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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.