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Finding the Fourth Proportional to 6,194.43, 9,268.36 and 3,686.38

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Solution

The fourth proportional to 6,194.43, 9,268.36 and 3,686.38 is: 5,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.43 : 9,268.36 = 3,686.38 : x
  2. Step 2: Convert to fraction form
    6,194.43/9,268.36 = 3,686.38/x
  3. Step 3: Cross multiply
    6,194.43x = 9,268.36 × 3,686.38
  4. Step 4: Simplify right side
    6,194.43x = 34,166,664.55
  5. Step 5: Solve for x
    x = 34,166,664.55/6,194.43
  6. Step 6: Final answer
    x = 5,515.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.