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Finding the Fourth Proportional to 9,965.50, 14,954.73 and 3,809.50

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Solution

The fourth proportional to 9,965.50, 14,954.73 and 3,809.50 is: 5,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.50 : 14,954.73 = 3,809.50 : x
  2. Step 2: Convert to fraction form
    9,965.50/14,954.73 = 3,809.50/x
  3. Step 3: Cross multiply
    9,965.50x = 14,954.73 × 3,809.50
  4. Step 4: Simplify right side
    9,965.50x = 56,970,043.94
  5. Step 5: Solve for x
    x = 56,970,043.94/9,965.50
  6. Step 6: Final answer
    x = 5,716.73

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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.