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Finding the Fourth Proportional to 6,564.80, 9,848.55 and 2,185.40

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Solution

The fourth proportional to 6,564.80, 9,848.55 and 2,185.40 is: 3,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.80 : 9,848.55 = 2,185.40 : x
  2. Step 2: Convert to fraction form
    6,564.80/9,848.55 = 2,185.40/x
  3. Step 3: Cross multiply
    6,564.80x = 9,848.55 × 2,185.40
  4. Step 4: Simplify right side
    6,564.80x = 21,523,021.17
  5. Step 5: Solve for x
    x = 21,523,021.17/6,564.80
  6. Step 6: Final answer
    x = 3,278.55

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