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Finding the Fourth Proportional to 8,137.68, 12,205.56 and 6,406.80

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Solution

The fourth proportional to 8,137.68, 12,205.56 and 6,406.80 is: 9,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.68 : 12,205.56 = 6,406.80 : x
  2. Step 2: Convert to fraction form
    8,137.68/12,205.56 = 6,406.80/x
  3. Step 3: Cross multiply
    8,137.68x = 12,205.56 × 6,406.80
  4. Step 4: Simplify right side
    8,137.68x = 78,198,581.81
  5. Step 5: Solve for x
    x = 78,198,581.81/8,137.68
  6. Step 6: Final answer
    x = 9,609.44

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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.