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Finding the Fourth Proportional to 6,196.62, 8,553.87 and 3,842.22

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Solution

The fourth proportional to 6,196.62, 8,553.87 and 3,842.22 is: 5,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.62 : 8,553.87 = 3,842.22 : x
  2. Step 2: Convert to fraction form
    6,196.62/8,553.87 = 3,842.22/x
  3. Step 3: Cross multiply
    6,196.62x = 8,553.87 × 3,842.22
  4. Step 4: Simplify right side
    6,196.62x = 32,865,850.39
  5. Step 5: Solve for x
    x = 32,865,850.39/6,196.62
  6. Step 6: Final answer
    x = 5,303.84

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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.