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Finding the Fourth Proportional to 6,410.70, 9,605.70 and 3,629.10

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Solution

The fourth proportional to 6,410.70, 9,605.70 and 3,629.10 is: 5,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.70 : 9,605.70 = 3,629.10 : x
  2. Step 2: Convert to fraction form
    6,410.70/9,605.70 = 3,629.10/x
  3. Step 3: Cross multiply
    6,410.70x = 9,605.70 × 3,629.10
  4. Step 4: Simplify right side
    6,410.70x = 34,860,045.87
  5. Step 5: Solve for x
    x = 34,860,045.87/6,410.70
  6. Step 6: Final answer
    x = 5,437.79

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