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Finding the Fourth Proportional to 11,914.94, 16,441.83 and 6,609.57

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Solution

The fourth proportional to 11,914.94, 16,441.83 and 6,609.57 is: 9,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.94 : 16,441.83 = 6,609.57 : x
  2. Step 2: Convert to fraction form
    11,914.94/16,441.83 = 6,609.57/x
  3. Step 3: Cross multiply
    11,914.94x = 16,441.83 × 6,609.57
  4. Step 4: Simplify right side
    11,914.94x = 108,673,426.31
  5. Step 5: Solve for x
    x = 108,673,426.31/11,914.94
  6. Step 6: Final answer
    x = 9,120.77

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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.