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Finding the Fourth Proportional to 6,716.32, 9,268.56 and 3,923.20

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Solution

The fourth proportional to 6,716.32, 9,268.56 and 3,923.20 is: 5,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.32 : 9,268.56 = 3,923.20 : x
  2. Step 2: Convert to fraction form
    6,716.32/9,268.56 = 3,923.20/x
  3. Step 3: Cross multiply
    6,716.32x = 9,268.56 × 3,923.20
  4. Step 4: Simplify right side
    6,716.32x = 36,362,414.59
  5. Step 5: Solve for x
    x = 36,362,414.59/6,716.32
  6. Step 6: Final answer
    x = 5,414.04

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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.