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Finding the Fourth Proportional to 6,787.37, 9,372.27 and 5,105.86

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Solution

The fourth proportional to 6,787.37, 9,372.27 and 5,105.86 is: 7,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.37 : 9,372.27 = 5,105.86 : x
  2. Step 2: Convert to fraction form
    6,787.37/9,372.27 = 5,105.86/x
  3. Step 3: Cross multiply
    6,787.37x = 9,372.27 × 5,105.86
  4. Step 4: Simplify right side
    6,787.37x = 47,853,529.36
  5. Step 5: Solve for x
    x = 47,853,529.36/6,787.37
  6. Step 6: Final answer
    x = 7,050.38

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Why These Related Problems?

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