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Finding the Fourth Proportional to 6,935.63, 9,571.16 and 3,791.81

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Solution

The fourth proportional to 6,935.63, 9,571.16 and 3,791.81 is: 5,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 9,571.16 = 3,791.81 : x
  2. Step 2: Convert to fraction form
    6,935.63/9,571.16 = 3,791.81/x
  3. Step 3: Cross multiply
    6,935.63x = 9,571.16 × 3,791.81
  4. Step 4: Simplify right side
    6,935.63x = 36,292,053.61
  5. Step 5: Solve for x
    x = 36,292,053.61/6,935.63
  6. Step 6: Final answer
    x = 5,232.70

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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.