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Finding the Fourth Proportional to 6,797,961.92, 9,379,074.30 and 3,857,292.56

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Solution

The fourth proportional to 6,797,961.92, 9,379,074.30 and 3,857,292.56 is: 5,321,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797,961.92 : 9,379,074.30 = 3,857,292.56 : x
  2. Step 2: Convert to fraction form
    6,797,961.92/9,379,074.30 = 3,857,292.56/x
  3. Step 3: Cross multiply
    6,797,961.92x = 9,379,074.30 × 3,857,292.56
  4. Step 4: Simplify right side
    6,797,961.92x = 36,177,833,517,077.21
  5. Step 5: Solve for x
    x = 36,177,833,517,077.21/6,797,961.92
  6. Step 6: Final answer
    x = 5,321,864.69

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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.