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Finding the Fourth Proportional to 6,243.80, 9,402.66 and 5,431.88

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Solution

The fourth proportional to 6,243.80, 9,402.66 and 5,431.88 is: 8,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.80 : 9,402.66 = 5,431.88 : x
  2. Step 2: Convert to fraction form
    6,243.80/9,402.66 = 5,431.88/x
  3. Step 3: Cross multiply
    6,243.80x = 9,402.66 × 5,431.88
  4. Step 4: Simplify right side
    6,243.80x = 51,074,144.31
  5. Step 5: Solve for x
    x = 51,074,144.31/6,243.80
  6. Step 6: Final answer
    x = 8,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.