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Finding the Fourth Proportional to 6,274.28, 9,406.84 and 3,808.64

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Solution

The fourth proportional to 6,274.28, 9,406.84 and 3,808.64 is: 5,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.28 : 9,406.84 = 3,808.64 : x
  2. Step 2: Convert to fraction form
    6,274.28/9,406.84 = 3,808.64/x
  3. Step 3: Cross multiply
    6,274.28x = 9,406.84 × 3,808.64
  4. Step 4: Simplify right side
    6,274.28x = 35,827,267.10
  5. Step 5: Solve for x
    x = 35,827,267.10/6,274.28
  6. Step 6: Final answer
    x = 5,710.18

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