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Finding the Fourth Proportional to 6,686.65, 9,227.41 and 3,661.75

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Solution

The fourth proportional to 6,686.65, 9,227.41 and 3,661.75 is: 5,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.65 : 9,227.41 = 3,661.75 : x
  2. Step 2: Convert to fraction form
    6,686.65/9,227.41 = 3,661.75/x
  3. Step 3: Cross multiply
    6,686.65x = 9,227.41 × 3,661.75
  4. Step 4: Simplify right side
    6,686.65x = 33,788,468.57
  5. Step 5: Solve for x
    x = 33,788,468.57/6,686.65
  6. Step 6: Final answer
    x = 5,053.12

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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.