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Finding the Fourth Proportional to 6,405.71, 9,596.09 and 3,623.96

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Solution

The fourth proportional to 6,405.71, 9,596.09 and 3,623.96 is: 5,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.71 : 9,596.09 = 3,623.96 : x
  2. Step 2: Convert to fraction form
    6,405.71/9,596.09 = 3,623.96/x
  3. Step 3: Cross multiply
    6,405.71x = 9,596.09 × 3,623.96
  4. Step 4: Simplify right side
    6,405.71x = 34,775,879.37
  5. Step 5: Solve for x
    x = 34,775,879.37/6,405.71
  6. Step 6: Final answer
    x = 5,428.89

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