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Finding the Fourth Proportional to 10,382.25, 14,333.99 and 6,662.73

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Solution

The fourth proportional to 10,382.25, 14,333.99 and 6,662.73 is: 9,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.25 : 14,333.99 = 6,662.73 : x
  2. Step 2: Convert to fraction form
    10,382.25/14,333.99 = 6,662.73/x
  3. Step 3: Cross multiply
    10,382.25x = 14,333.99 × 6,662.73
  4. Step 4: Simplify right side
    10,382.25x = 95,503,471.88
  5. Step 5: Solve for x
    x = 95,503,471.88/10,382.25
  6. Step 6: Final answer
    x = 9,198.73

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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.