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Finding the Fourth Proportional to 6,786.36, 9,366.66 and 3,993.48

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Solution

The fourth proportional to 6,786.36, 9,366.66 and 3,993.48 is: 5,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.36 : 9,366.66 = 3,993.48 : x
  2. Step 2: Convert to fraction form
    6,786.36/9,366.66 = 3,993.48/x
  3. Step 3: Cross multiply
    6,786.36x = 9,366.66 × 3,993.48
  4. Step 4: Simplify right side
    6,786.36x = 37,405,569.38
  5. Step 5: Solve for x
    x = 37,405,569.38/6,786.36
  6. Step 6: Final answer
    x = 5,511.88

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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.