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Finding the Fourth Proportional to 6,486.38, 9,729.69 and 2,103.82

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Solution

The fourth proportional to 6,486.38, 9,729.69 and 2,103.82 is: 3,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.38 : 9,729.69 = 2,103.82 : x
  2. Step 2: Convert to fraction form
    6,486.38/9,729.69 = 2,103.82/x
  3. Step 3: Cross multiply
    6,486.38x = 9,729.69 × 2,103.82
  4. Step 4: Simplify right side
    6,486.38x = 20,469,516.42
  5. Step 5: Solve for x
    x = 20,469,516.42/6,486.38
  6. Step 6: Final answer
    x = 3,155.77

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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.