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Finding the Fourth Proportional to 6,349.32, 9,522.45 and 1,906.05

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Solution

The fourth proportional to 6,349.32, 9,522.45 and 1,906.05 is: 2,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.32 : 9,522.45 = 1,906.05 : x
  2. Step 2: Convert to fraction form
    6,349.32/9,522.45 = 1,906.05/x
  3. Step 3: Cross multiply
    6,349.32x = 9,522.45 × 1,906.05
  4. Step 4: Simplify right side
    6,349.32x = 18,150,265.82
  5. Step 5: Solve for x
    x = 18,150,265.82/6,349.32
  6. Step 6: Final answer
    x = 2,858.62

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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.