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Finding the Fourth Proportional to 6,616.78, 9,131.30 and 3,632.82

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Solution

The fourth proportional to 6,616.78, 9,131.30 and 3,632.82 is: 5,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.78 : 9,131.30 = 3,632.82 : x
  2. Step 2: Convert to fraction form
    6,616.78/9,131.30 = 3,632.82/x
  3. Step 3: Cross multiply
    6,616.78x = 9,131.30 × 3,632.82
  4. Step 4: Simplify right side
    6,616.78x = 33,172,369.27
  5. Step 5: Solve for x
    x = 33,172,369.27/6,616.78
  6. Step 6: Final answer
    x = 5,013.37

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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.