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Finding the Fourth Proportional to 6,643.14, 9,166.92 and 3,659.10

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Solution

The fourth proportional to 6,643.14, 9,166.92 and 3,659.10 is: 5,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.14 : 9,166.92 = 3,659.10 : x
  2. Step 2: Convert to fraction form
    6,643.14/9,166.92 = 3,659.10/x
  3. Step 3: Cross multiply
    6,643.14x = 9,166.92 × 3,659.10
  4. Step 4: Simplify right side
    6,643.14x = 33,542,676.97
  5. Step 5: Solve for x
    x = 33,542,676.97/6,643.14
  6. Step 6: Final answer
    x = 5,049.22

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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.