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Finding the Fourth Proportional to 6,786.26, 9,365.06 and 3,955.57

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Solution

The fourth proportional to 6,786.26, 9,365.06 and 3,955.57 is: 5,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.26 : 9,365.06 = 3,955.57 : x
  2. Step 2: Convert to fraction form
    6,786.26/9,365.06 = 3,955.57/x
  3. Step 3: Cross multiply
    6,786.26x = 9,365.06 × 3,955.57
  4. Step 4: Simplify right side
    6,786.26x = 37,044,150.38
  5. Step 5: Solve for x
    x = 37,044,150.38/6,786.26
  6. Step 6: Final answer
    x = 5,458.70

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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.