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Finding the Fourth Proportional to 8,563.44, 12,844.97 and 3,946.44

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Solution

The fourth proportional to 8,563.44, 12,844.97 and 3,946.44 is: 5,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.44 : 12,844.97 = 3,946.44 : x
  2. Step 2: Convert to fraction form
    8,563.44/12,844.97 = 3,946.44/x
  3. Step 3: Cross multiply
    8,563.44x = 12,844.97 × 3,946.44
  4. Step 4: Simplify right side
    8,563.44x = 50,691,883.67
  5. Step 5: Solve for x
    x = 50,691,883.67/8,563.44
  6. Step 6: Final answer
    x = 5,919.57

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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.