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Finding the Fourth Proportional to 9,965.97, 14,939.37 and 3,724.25

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Solution

The fourth proportional to 9,965.97, 14,939.37 and 3,724.25 is: 5,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.97 : 14,939.37 = 3,724.25 : x
  2. Step 2: Convert to fraction form
    9,965.97/14,939.37 = 3,724.25/x
  3. Step 3: Cross multiply
    9,965.97x = 14,939.37 × 3,724.25
  4. Step 4: Simplify right side
    9,965.97x = 55,637,874.03
  5. Step 5: Solve for x
    x = 55,637,874.03/9,965.97
  6. Step 6: Final answer
    x = 5,582.79

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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.