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Finding the Fourth Proportional to 6,786.75, 9,366.27 and 3,992.79

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Solution

The fourth proportional to 6,786.75, 9,366.27 and 3,992.79 is: 5,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.75 : 9,366.27 = 3,992.79 : x
  2. Step 2: Convert to fraction form
    6,786.75/9,366.27 = 3,992.79/x
  3. Step 3: Cross multiply
    6,786.75x = 9,366.27 × 3,992.79
  4. Step 4: Simplify right side
    6,786.75x = 37,397,549.19
  5. Step 5: Solve for x
    x = 37,397,549.19/6,786.75
  6. Step 6: Final answer
    x = 5,510.38

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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.