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Finding the Fourth Proportional to 6,616.80, 9,131.37 and 3,632.61

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Solution

The fourth proportional to 6,616.80, 9,131.37 and 3,632.61 is: 5,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.80 : 9,131.37 = 3,632.61 : x
  2. Step 2: Convert to fraction form
    6,616.80/9,131.37 = 3,632.61/x
  3. Step 3: Cross multiply
    6,616.80x = 9,131.37 × 3,632.61
  4. Step 4: Simplify right side
    6,616.80x = 33,170,705.98
  5. Step 5: Solve for x
    x = 33,170,705.98/6,616.80
  6. Step 6: Final answer
    x = 5,013.10

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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.