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Finding the Fourth Proportional to 6,349.78, 9,522.44 and 1,906.12

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Solution

The fourth proportional to 6,349.78, 9,522.44 and 1,906.12 is: 2,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.78 : 9,522.44 = 1,906.12 : x
  2. Step 2: Convert to fraction form
    6,349.78/9,522.44 = 1,906.12/x
  3. Step 3: Cross multiply
    6,349.78x = 9,522.44 × 1,906.12
  4. Step 4: Simplify right side
    6,349.78x = 18,150,913.33
  5. Step 5: Solve for x
    x = 18,150,913.33/6,349.78
  6. Step 6: Final answer
    x = 2,858.51

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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.