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Finding the Fourth Proportional to 8,564.44, 12,846.46 and 3,947.44

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Solution

The fourth proportional to 8,564.44, 12,846.46 and 3,947.44 is: 5,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.44 : 12,846.46 = 3,947.44 : x
  2. Step 2: Convert to fraction form
    8,564.44/12,846.46 = 3,947.44/x
  3. Step 3: Cross multiply
    8,564.44x = 12,846.46 × 3,947.44
  4. Step 4: Simplify right side
    8,564.44x = 50,710,630.06
  5. Step 5: Solve for x
    x = 50,710,630.06/8,564.44
  6. Step 6: Final answer
    x = 5,921.07

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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.