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Finding the Fourth Proportional to 6,640.30, 9,163.76 and 3,656.19

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Solution

The fourth proportional to 6,640.30, 9,163.76 and 3,656.19 is: 5,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.30 : 9,163.76 = 3,656.19 : x
  2. Step 2: Convert to fraction form
    6,640.30/9,163.76 = 3,656.19/x
  3. Step 3: Cross multiply
    6,640.30x = 9,163.76 × 3,656.19
  4. Step 4: Simplify right side
    6,640.30x = 33,504,447.67
  5. Step 5: Solve for x
    x = 33,504,447.67/6,640.30
  6. Step 6: Final answer
    x = 5,045.62

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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.