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Finding the Fourth Proportional to 6,196.26, 9,296.67 and 2,866.12

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Solution

The fourth proportional to 6,196.26, 9,296.67 and 2,866.12 is: 4,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.26 : 9,296.67 = 2,866.12 : x
  2. Step 2: Convert to fraction form
    6,196.26/9,296.67 = 2,866.12/x
  3. Step 3: Cross multiply
    6,196.26x = 9,296.67 × 2,866.12
  4. Step 4: Simplify right side
    6,196.26x = 26,645,359.33
  5. Step 5: Solve for x
    x = 26,645,359.33/6,196.26
  6. Step 6: Final answer
    x = 4,300.23

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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.