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Finding the Fourth Proportional to 6,694.30, 9,239.42 and 3,863.50

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Solution

The fourth proportional to 6,694.30, 9,239.42 and 3,863.50 is: 5,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.30 : 9,239.42 = 3,863.50 : x
  2. Step 2: Convert to fraction form
    6,694.30/9,239.42 = 3,863.50/x
  3. Step 3: Cross multiply
    6,694.30x = 9,239.42 × 3,863.50
  4. Step 4: Simplify right side
    6,694.30x = 35,696,499.17
  5. Step 5: Solve for x
    x = 35,696,499.17/6,694.30
  6. Step 6: Final answer
    x = 5,332.37

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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.