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Finding the Fourth Proportional to 9,095.31, 13,632.84 and 3,828.78

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Solution

The fourth proportional to 9,095.31, 13,632.84 and 3,828.78 is: 5,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.31 : 13,632.84 = 3,828.78 : x
  2. Step 2: Convert to fraction form
    9,095.31/13,632.84 = 3,828.78/x
  3. Step 3: Cross multiply
    9,095.31x = 13,632.84 × 3,828.78
  4. Step 4: Simplify right side
    9,095.31x = 52,197,145.14
  5. Step 5: Solve for x
    x = 52,197,145.14/9,095.31
  6. Step 6: Final answer
    x = 5,738.91

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