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Finding the Fourth Proportional to 8,942.87, 13,408.83 and 4,264.31

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Solution

The fourth proportional to 8,942.87, 13,408.83 and 4,264.31 is: 6,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.87 : 13,408.83 = 4,264.31 : x
  2. Step 2: Convert to fraction form
    8,942.87/13,408.83 = 4,264.31/x
  3. Step 3: Cross multiply
    8,942.87x = 13,408.83 × 4,264.31
  4. Step 4: Simplify right side
    8,942.87x = 57,179,390.33
  5. Step 5: Solve for x
    x = 57,179,390.33/8,942.87
  6. Step 6: Final answer
    x = 6,393.85

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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.