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Finding the Fourth Proportional to 8,155.10, 12,205.46 and 6,196.34

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Solution

The fourth proportional to 8,155.10, 12,205.46 and 6,196.34 is: 9,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.10 : 12,205.46 = 6,196.34 : x
  2. Step 2: Convert to fraction form
    8,155.10/12,205.46 = 6,196.34/x
  3. Step 3: Cross multiply
    8,155.10x = 12,205.46 × 6,196.34
  4. Step 4: Simplify right side
    8,155.10x = 75,629,180.02
  5. Step 5: Solve for x
    x = 75,629,180.02/8,155.10
  6. Step 6: Final answer
    x = 9,273.85

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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.