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Finding the Fourth Proportional to 6,716.64, 9,268.80 and 3,732.74

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Solution

The fourth proportional to 6,716.64, 9,268.80 and 3,732.74 is: 5,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.64 : 9,268.80 = 3,732.74 : x
  2. Step 2: Convert to fraction form
    6,716.64/9,268.80 = 3,732.74/x
  3. Step 3: Cross multiply
    6,716.64x = 9,268.80 × 3,732.74
  4. Step 4: Simplify right side
    6,716.64x = 34,598,020.51
  5. Step 5: Solve for x
    x = 34,598,020.51/6,716.64
  6. Step 6: Final answer
    x = 5,151.09

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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.