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Finding the Fourth Proportional to 11,289.62, 16,914.38 and 9,629.33

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Solution

The fourth proportional to 11,289.62, 16,914.38 and 9,629.33 is: 14,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.62 : 16,914.38 = 9,629.33 : x
  2. Step 2: Convert to fraction form
    11,289.62/16,914.38 = 9,629.33/x
  3. Step 3: Cross multiply
    11,289.62x = 16,914.38 × 9,629.33
  4. Step 4: Simplify right side
    11,289.62x = 162,874,014.05
  5. Step 5: Solve for x
    x = 162,874,014.05/11,289.62
  6. Step 6: Final answer
    x = 14,426.89

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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.