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Finding the Fourth Proportional to 6,894.27, 10,342.17 and 3,196.13

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Solution

The fourth proportional to 6,894.27, 10,342.17 and 3,196.13 is: 4,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.27 : 10,342.17 = 3,196.13 : x
  2. Step 2: Convert to fraction form
    6,894.27/10,342.17 = 3,196.13/x
  3. Step 3: Cross multiply
    6,894.27x = 10,342.17 × 3,196.13
  4. Step 4: Simplify right side
    6,894.27x = 33,054,868.09
  5. Step 5: Solve for x
    x = 33,054,868.09/6,894.27
  6. Step 6: Final answer
    x = 4,794.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.