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Finding the Fourth Proportional to 4,648.14, 6,965.37 and 3,409.83

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Solution

The fourth proportional to 4,648.14, 6,965.37 and 3,409.83 is: 5,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.14 : 6,965.37 = 3,409.83 : x
  2. Step 2: Convert to fraction form
    4,648.14/6,965.37 = 3,409.83/x
  3. Step 3: Cross multiply
    4,648.14x = 6,965.37 × 3,409.83
  4. Step 4: Simplify right side
    4,648.14x = 23,750,727.59
  5. Step 5: Solve for x
    x = 23,750,727.59/4,648.14
  6. Step 6: Final answer
    x = 5,109.73

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