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Finding the Fourth Proportional to 6,196.20, 9,295.91 and 3,596.91

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Solution

The fourth proportional to 6,196.20, 9,295.91 and 3,596.91 is: 5,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.20 : 9,295.91 = 3,596.91 : x
  2. Step 2: Convert to fraction form
    6,196.20/9,295.91 = 3,596.91/x
  3. Step 3: Cross multiply
    6,196.20x = 9,295.91 × 3,596.91
  4. Step 4: Simplify right side
    6,196.20x = 33,436,532.51
  5. Step 5: Solve for x
    x = 33,436,532.51/6,196.20
  6. Step 6: Final answer
    x = 5,396.30

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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.