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Finding the Fourth Proportional to 6,296.25, 9,441.24 and 3,664.63

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Solution

The fourth proportional to 6,296.25, 9,441.24 and 3,664.63 is: 5,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.25 : 9,441.24 = 3,664.63 : x
  2. Step 2: Convert to fraction form
    6,296.25/9,441.24 = 3,664.63/x
  3. Step 3: Cross multiply
    6,296.25x = 9,441.24 × 3,664.63
  4. Step 4: Simplify right side
    6,296.25x = 34,598,651.34
  5. Step 5: Solve for x
    x = 34,598,651.34/6,296.25
  6. Step 6: Final answer
    x = 5,495.12

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