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Finding the Fourth Proportional to 6,616.97, 9,131.16 and 3,632.73

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Solution

The fourth proportional to 6,616.97, 9,131.16 and 3,632.73 is: 5,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.97 : 9,131.16 = 3,632.73 : x
  2. Step 2: Convert to fraction form
    6,616.97/9,131.16 = 3,632.73/x
  3. Step 3: Cross multiply
    6,616.97x = 9,131.16 × 3,632.73
  4. Step 4: Simplify right side
    6,616.97x = 33,171,038.87
  5. Step 5: Solve for x
    x = 33,171,038.87/6,616.97
  6. Step 6: Final answer
    x = 5,013.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.