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Finding the Fourth Proportional to 6,333.27, 8,734.23 and 4,092.80

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Solution

The fourth proportional to 6,333.27, 8,734.23 and 4,092.80 is: 5,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.27 : 8,734.23 = 4,092.80 : x
  2. Step 2: Convert to fraction form
    6,333.27/8,734.23 = 4,092.80/x
  3. Step 3: Cross multiply
    6,333.27x = 8,734.23 × 4,092.80
  4. Step 4: Simplify right side
    6,333.27x = 35,747,412.87
  5. Step 5: Solve for x
    x = 35,747,412.87/6,333.27
  6. Step 6: Final answer
    x = 5,644.39

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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.