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Finding the Fourth Proportional to 6,236.92, 9,311.96 and 5,614.84

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Solution

The fourth proportional to 6,236.92, 9,311.96 and 5,614.84 is: 8,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.92 : 9,311.96 = 5,614.84 : x
  2. Step 2: Convert to fraction form
    6,236.92/9,311.96 = 5,614.84/x
  3. Step 3: Cross multiply
    6,236.92x = 9,311.96 × 5,614.84
  4. Step 4: Simplify right side
    6,236.92x = 52,285,165.49
  5. Step 5: Solve for x
    x = 52,285,165.49/6,236.92
  6. Step 6: Final answer
    x = 8,383.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.