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Finding the Fourth Proportional to 9,940.38, 14,912.37 and 4,093.80

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Solution

The fourth proportional to 9,940.38, 14,912.37 and 4,093.80 is: 6,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.38 : 14,912.37 = 4,093.80 : x
  2. Step 2: Convert to fraction form
    9,940.38/14,912.37 = 4,093.80/x
  3. Step 3: Cross multiply
    9,940.38x = 14,912.37 × 4,093.80
  4. Step 4: Simplify right side
    9,940.38x = 61,048,260.31
  5. Step 5: Solve for x
    x = 61,048,260.31/9,940.38
  6. Step 6: Final answer
    x = 6,141.44

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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.