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Finding the Fourth Proportional to 6,616.71, 9,131.18 and 3,632.83

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Solution

The fourth proportional to 6,616.71, 9,131.18 and 3,632.83 is: 5,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.71 : 9,131.18 = 3,632.83 : x
  2. Step 2: Convert to fraction form
    6,616.71/9,131.18 = 3,632.83/x
  3. Step 3: Cross multiply
    6,616.71x = 9,131.18 × 3,632.83
  4. Step 4: Simplify right side
    6,616.71x = 33,171,983.65
  5. Step 5: Solve for x
    x = 33,171,983.65/6,616.71
  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.