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Finding the Fourth Proportional to 9,940.25, 13,711.83 and 5,959.05

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Solution

The fourth proportional to 9,940.25, 13,711.83 and 5,959.05 is: 8,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.25 : 13,711.83 = 5,959.05 : x
  2. Step 2: Convert to fraction form
    9,940.25/13,711.83 = 5,959.05/x
  3. Step 3: Cross multiply
    9,940.25x = 13,711.83 × 5,959.05
  4. Step 4: Simplify right side
    9,940.25x = 81,709,480.56
  5. Step 5: Solve for x
    x = 81,709,480.56/9,940.25
  6. Step 6: Final answer
    x = 8,220.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.