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Finding the Fourth Proportional to 6,934.86, 10,406.40 and 3,648.21

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Solution

The fourth proportional to 6,934.86, 10,406.40 and 3,648.21 is: 5,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.86 : 10,406.40 = 3,648.21 : x
  2. Step 2: Convert to fraction form
    6,934.86/10,406.40 = 3,648.21/x
  3. Step 3: Cross multiply
    6,934.86x = 10,406.40 × 3,648.21
  4. Step 4: Simplify right side
    6,934.86x = 37,964,732.54
  5. Step 5: Solve for x
    x = 37,964,732.54/6,934.86
  6. Step 6: Final answer
    x = 5,474.48

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