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Finding the Fourth Proportional to 6,717.14, 9,269.48 and 3,733.25

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Solution

The fourth proportional to 6,717.14, 9,269.48 and 3,733.25 is: 5,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.14 : 9,269.48 = 3,733.25 : x
  2. Step 2: Convert to fraction form
    6,717.14/9,269.48 = 3,733.25/x
  3. Step 3: Cross multiply
    6,717.14x = 9,269.48 × 3,733.25
  4. Step 4: Simplify right side
    6,717.14x = 34,605,286.21
  5. Step 5: Solve for x
    x = 34,605,286.21/6,717.14
  6. Step 6: Final answer
    x = 5,151.79

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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.