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Finding the Fourth Proportional to 6,584.95, 9,880.35 and 3,464.20

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Solution

The fourth proportional to 6,584.95, 9,880.35 and 3,464.20 is: 5,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.95 : 9,880.35 = 3,464.20 : x
  2. Step 2: Convert to fraction form
    6,584.95/9,880.35 = 3,464.20/x
  3. Step 3: Cross multiply
    6,584.95x = 9,880.35 × 3,464.20
  4. Step 4: Simplify right side
    6,584.95x = 34,227,508.47
  5. Step 5: Solve for x
    x = 34,227,508.47/6,584.95
  6. Step 6: Final answer
    x = 5,197.84

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