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Finding the Fourth Proportional to 11,930.64, 16,446.66 and 9,093.09

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Solution

The fourth proportional to 11,930.64, 16,446.66 and 9,093.09 is: 12,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.64 : 16,446.66 = 9,093.09 : x
  2. Step 2: Convert to fraction form
    11,930.64/16,446.66 = 9,093.09/x
  3. Step 3: Cross multiply
    11,930.64x = 16,446.66 × 9,093.09
  4. Step 4: Simplify right side
    11,930.64x = 149,550,959.58
  5. Step 5: Solve for x
    x = 149,550,959.58/11,930.64
  6. Step 6: Final answer
    x = 12,535.03

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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.