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Finding the Fourth Proportional to 9,940.40, 14,912.42 and 4,093.82

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Solution

The fourth proportional to 9,940.40, 14,912.42 and 4,093.82 is: 6,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.40 : 14,912.42 = 4,093.82 : x
  2. Step 2: Convert to fraction form
    9,940.40/14,912.42 = 4,093.82/x
  3. Step 3: Cross multiply
    9,940.40x = 14,912.42 × 4,093.82
  4. Step 4: Simplify right side
    9,940.40x = 61,048,763.24
  5. Step 5: Solve for x
    x = 61,048,763.24/9,940.40
  6. Step 6: Final answer
    x = 6,141.48

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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.