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Finding the Fourth Proportional to 6,643.27, 9,167.71 and 3,659.10

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Solution

The fourth proportional to 6,643.27, 9,167.71 and 3,659.10 is: 5,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.27 : 9,167.71 = 3,659.10 : x
  2. Step 2: Convert to fraction form
    6,643.27/9,167.71 = 3,659.10/x
  3. Step 3: Cross multiply
    6,643.27x = 9,167.71 × 3,659.10
  4. Step 4: Simplify right side
    6,643.27x = 33,545,567.66
  5. Step 5: Solve for x
    x = 33,545,567.66/6,643.27
  6. Step 6: Final answer
    x = 5,049.56

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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.