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Finding the Fourth Proportional to 9,942.75, 14,908.49 and 3,277.44

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Solution

The fourth proportional to 9,942.75, 14,908.49 and 3,277.44 is: 4,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 14,908.49 = 3,277.44 : x
  2. Step 2: Convert to fraction form
    9,942.75/14,908.49 = 3,277.44/x
  3. Step 3: Cross multiply
    9,942.75x = 14,908.49 × 3,277.44
  4. Step 4: Simplify right side
    9,942.75x = 48,861,665.08
  5. Step 5: Solve for x
    x = 48,861,665.08/9,942.75
  6. Step 6: Final answer
    x = 4,914.30

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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.