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Finding the Fourth Proportional to 8,195.57, 12,293.35 and 6,544.38

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Solution

The fourth proportional to 8,195.57, 12,293.35 and 6,544.38 is: 9,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.57 : 12,293.35 = 6,544.38 : x
  2. Step 2: Convert to fraction form
    8,195.57/12,293.35 = 6,544.38/x
  3. Step 3: Cross multiply
    8,195.57x = 12,293.35 × 6,544.38
  4. Step 4: Simplify right side
    8,195.57x = 80,452,353.87
  5. Step 5: Solve for x
    x = 80,452,353.87/8,195.57
  6. Step 6: Final answer
    x = 9,816.57

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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.