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Finding the Fourth Proportional to 6,643.11, 9,167.51 and 3,659.16

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Solution

The fourth proportional to 6,643.11, 9,167.51 and 3,659.16 is: 5,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.11 : 9,167.51 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    6,643.11/9,167.51 = 3,659.16/x
  3. Step 3: Cross multiply
    6,643.11x = 9,167.51 × 3,659.16
  4. Step 4: Simplify right side
    6,643.11x = 33,545,367.60
  5. Step 5: Solve for x
    x = 33,545,367.60/6,643.11
  6. Step 6: Final answer
    x = 5,049.65

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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.