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Finding the Fourth Proportional to 8,660.97, 12,993.50 and 6,214.26

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Solution

The fourth proportional to 8,660.97, 12,993.50 and 6,214.26 is: 9,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.97 : 12,993.50 = 6,214.26 : x
  2. Step 2: Convert to fraction form
    8,660.97/12,993.50 = 6,214.26/x
  3. Step 3: Cross multiply
    8,660.97x = 12,993.50 × 6,214.26
  4. Step 4: Simplify right side
    8,660.97x = 80,745,002.85
  5. Step 5: Solve for x
    x = 80,745,002.85/8,660.97
  6. Step 6: Final answer
    x = 9,322.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.