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Finding the Fourth Proportional to 6,935.69, 9,571.05 and 3,791.88

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Solution

The fourth proportional to 6,935.69, 9,571.05 and 3,791.88 is: 5,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.69 : 9,571.05 = 3,791.88 : x
  2. Step 2: Convert to fraction form
    6,935.69/9,571.05 = 3,791.88/x
  3. Step 3: Cross multiply
    6,935.69x = 9,571.05 × 3,791.88
  4. Step 4: Simplify right side
    6,935.69x = 36,292,273.07
  5. Step 5: Solve for x
    x = 36,292,273.07/6,935.69
  6. Step 6: Final answer
    x = 5,232.68

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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.