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Finding the Fourth Proportional to 6,449.64, 9,674.12 and 1,769.57

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Solution

The fourth proportional to 6,449.64, 9,674.12 and 1,769.57 is: 2,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.64 : 9,674.12 = 1,769.57 : x
  2. Step 2: Convert to fraction form
    6,449.64/9,674.12 = 1,769.57/x
  3. Step 3: Cross multiply
    6,449.64x = 9,674.12 × 1,769.57
  4. Step 4: Simplify right side
    6,449.64x = 17,119,032.53
  5. Step 5: Solve for x
    x = 17,119,032.53/6,449.64
  6. Step 6: Final answer
    x = 2,654.26

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