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Finding the Fourth Proportional to 8,441.92, 12,664.41 and 4,227.37

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Solution

The fourth proportional to 8,441.92, 12,664.41 and 4,227.37 is: 6,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.92 : 12,664.41 = 4,227.37 : x
  2. Step 2: Convert to fraction form
    8,441.92/12,664.41 = 4,227.37/x
  3. Step 3: Cross multiply
    8,441.92x = 12,664.41 × 4,227.37
  4. Step 4: Simplify right side
    8,441.92x = 53,537,146.90
  5. Step 5: Solve for x
    x = 53,537,146.90/8,441.92
  6. Step 6: Final answer
    x = 6,341.82

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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.