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Finding the Fourth Proportional to 8,564.43, 12,846.46 and 3,947.43

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Solution

The fourth proportional to 8,564.43, 12,846.46 and 3,947.43 is: 5,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.43 : 12,846.46 = 3,947.43 : x
  2. Step 2: Convert to fraction form
    8,564.43/12,846.46 = 3,947.43/x
  3. Step 3: Cross multiply
    8,564.43x = 12,846.46 × 3,947.43
  4. Step 4: Simplify right side
    8,564.43x = 50,710,417.63
  5. Step 5: Solve for x
    x = 50,710,417.63/8,564.43
  6. Step 6: Final answer
    x = 5,921.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.