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Finding the Fourth Proportional to 7,062.48, 9,747.38 and 3,919.68

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Solution

The fourth proportional to 7,062.48, 9,747.38 and 3,919.68 is: 5,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.48 : 9,747.38 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    7,062.48/9,747.38 = 3,919.68/x
  3. Step 3: Cross multiply
    7,062.48x = 9,747.38 × 3,919.68
  4. Step 4: Simplify right side
    7,062.48x = 38,206,610.44
  5. Step 5: Solve for x
    x = 38,206,610.44/7,062.48
  6. Step 6: Final answer
    x = 5,409.80

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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.