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Finding the Fourth Proportional to 11,942.63, 16,479.52 and 6,906.09

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Solution

The fourth proportional to 11,942.63, 16,479.52 and 6,906.09 is: 9,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.63 : 16,479.52 = 6,906.09 : x
  2. Step 2: Convert to fraction form
    11,942.63/16,479.52 = 6,906.09/x
  3. Step 3: Cross multiply
    11,942.63x = 16,479.52 × 6,906.09
  4. Step 4: Simplify right side
    11,942.63x = 113,809,048.28
  5. Step 5: Solve for x
    x = 113,809,048.28/11,942.63
  6. Step 6: Final answer
    x = 9,529.65

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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.