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Finding the Fourth Proportional to 6,556.42, 9,828.24 and 3,628.60

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Solution

The fourth proportional to 6,556.42, 9,828.24 and 3,628.60 is: 5,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.42 : 9,828.24 = 3,628.60 : x
  2. Step 2: Convert to fraction form
    6,556.42/9,828.24 = 3,628.60/x
  3. Step 3: Cross multiply
    6,556.42x = 9,828.24 × 3,628.60
  4. Step 4: Simplify right side
    6,556.42x = 35,662,751.66
  5. Step 5: Solve for x
    x = 35,662,751.66/6,556.42
  6. Step 6: Final answer
    x = 5,439.36

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