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Finding the Fourth Proportional to 6,822.22, 9,414.01 and 4,172.31

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Solution

The fourth proportional to 6,822.22, 9,414.01 and 4,172.31 is: 5,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.22 : 9,414.01 = 4,172.31 : x
  2. Step 2: Convert to fraction form
    6,822.22/9,414.01 = 4,172.31/x
  3. Step 3: Cross multiply
    6,822.22x = 9,414.01 × 4,172.31
  4. Step 4: Simplify right side
    6,822.22x = 39,278,168.06
  5. Step 5: Solve for x
    x = 39,278,168.06/6,822.22
  6. Step 6: Final answer
    x = 5,757.39

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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.