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Finding the Fourth Proportional to 6,736.52, 9,296.31 and 3,752.69

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Solution

The fourth proportional to 6,736.52, 9,296.31 and 3,752.69 is: 5,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.52 : 9,296.31 = 3,752.69 : x
  2. Step 2: Convert to fraction form
    6,736.52/9,296.31 = 3,752.69/x
  3. Step 3: Cross multiply
    6,736.52x = 9,296.31 × 3,752.69
  4. Step 4: Simplify right side
    6,736.52x = 34,886,123.09
  5. Step 5: Solve for x
    x = 34,886,123.09/6,736.52
  6. Step 6: Final answer
    x = 5,178.66

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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.