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Finding the Fourth Proportional to 8,921.75, 12,311.39 and 4,942.49

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Solution

The fourth proportional to 8,921.75, 12,311.39 and 4,942.49 is: 6,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.75 : 12,311.39 = 4,942.49 : x
  2. Step 2: Convert to fraction form
    8,921.75/12,311.39 = 4,942.49/x
  3. Step 3: Cross multiply
    8,921.75x = 12,311.39 × 4,942.49
  4. Step 4: Simplify right side
    8,921.75x = 60,848,872.76
  5. Step 5: Solve for x
    x = 60,848,872.76/8,921.75
  6. Step 6: Final answer
    x = 6,820.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.