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Finding the Fourth Proportional to 6,449.04, 9,669.24 and 3,678.80

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Solution

The fourth proportional to 6,449.04, 9,669.24 and 3,678.80 is: 5,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.04 : 9,669.24 = 3,678.80 : x
  2. Step 2: Convert to fraction form
    6,449.04/9,669.24 = 3,678.80/x
  3. Step 3: Cross multiply
    6,449.04x = 9,669.24 × 3,678.80
  4. Step 4: Simplify right side
    6,449.04x = 35,571,200.11
  5. Step 5: Solve for x
    x = 35,571,200.11/6,449.04
  6. Step 6: Final answer
    x = 5,515.74

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