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Finding the Fourth Proportional to 6,243.68, 9,342.03 and 3,472.37

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Solution

The fourth proportional to 6,243.68, 9,342.03 and 3,472.37 is: 5,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.68 : 9,342.03 = 3,472.37 : x
  2. Step 2: Convert to fraction form
    6,243.68/9,342.03 = 3,472.37/x
  3. Step 3: Cross multiply
    6,243.68x = 9,342.03 × 3,472.37
  4. Step 4: Simplify right side
    6,243.68x = 32,438,986.05
  5. Step 5: Solve for x
    x = 32,438,986.05/6,243.68
  6. Step 6: Final answer
    x = 5,195.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.