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Finding the Fourth Proportional to 6,837.96, 9,436.38 and 3,694.14

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Solution

The fourth proportional to 6,837.96, 9,436.38 and 3,694.14 is: 5,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.96 : 9,436.38 = 3,694.14 : x
  2. Step 2: Convert to fraction form
    6,837.96/9,436.38 = 3,694.14/x
  3. Step 3: Cross multiply
    6,837.96x = 9,436.38 × 3,694.14
  4. Step 4: Simplify right side
    6,837.96x = 34,859,308.81
  5. Step 5: Solve for x
    x = 34,859,308.81/6,837.96
  6. Step 6: Final answer
    x = 5,097.91

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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.