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Finding the Fourth Proportional to 8,974.82, 12,379.74 and 5,786.94

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Solution

The fourth proportional to 8,974.82, 12,379.74 and 5,786.94 is: 7,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.82 : 12,379.74 = 5,786.94 : x
  2. Step 2: Convert to fraction form
    8,974.82/12,379.74 = 5,786.94/x
  3. Step 3: Cross multiply
    8,974.82x = 12,379.74 × 5,786.94
  4. Step 4: Simplify right side
    8,974.82x = 71,640,812.60
  5. Step 5: Solve for x
    x = 71,640,812.60/8,974.82
  6. Step 6: Final answer
    x = 7,982.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.