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Finding the Fourth Proportional to 6,584.60, 9,878.13 and 2,202.08

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Solution

The fourth proportional to 6,584.60, 9,878.13 and 2,202.08 is: 3,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.60 : 9,878.13 = 2,202.08 : x
  2. Step 2: Convert to fraction form
    6,584.60/9,878.13 = 2,202.08/x
  3. Step 3: Cross multiply
    6,584.60x = 9,878.13 × 2,202.08
  4. Step 4: Simplify right side
    6,584.60x = 21,752,432.51
  5. Step 5: Solve for x
    x = 21,752,432.51/6,584.60
  6. Step 6: Final answer
    x = 3,303.53

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