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Finding the Fourth Proportional to 6,736.97, 9,296.64 and 3,752.75

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Solution

The fourth proportional to 6,736.97, 9,296.64 and 3,752.75 is: 5,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.97 : 9,296.64 = 3,752.75 : x
  2. Step 2: Convert to fraction form
    6,736.97/9,296.64 = 3,752.75/x
  3. Step 3: Cross multiply
    6,736.97x = 9,296.64 × 3,752.75
  4. Step 4: Simplify right side
    6,736.97x = 34,887,919.28
  5. Step 5: Solve for x
    x = 34,887,919.28/6,736.97
  6. Step 6: Final answer
    x = 5,178.58

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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.