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Finding the Fourth Proportional to 8,093.14, 12,143.49 and 4,195.42

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Solution

The fourth proportional to 8,093.14, 12,143.49 and 4,195.42 is: 6,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.14 : 12,143.49 = 4,195.42 : x
  2. Step 2: Convert to fraction form
    8,093.14/12,143.49 = 4,195.42/x
  3. Step 3: Cross multiply
    8,093.14x = 12,143.49 × 4,195.42
  4. Step 4: Simplify right side
    8,093.14x = 50,947,040.82
  5. Step 5: Solve for x
    x = 50,947,040.82/8,093.14
  6. Step 6: Final answer
    x = 6,295.09

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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.