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Finding the Fourth Proportional to 6,564.78, 9,844.32 and 2,561.58

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Solution

The fourth proportional to 6,564.78, 9,844.32 and 2,561.58 is: 3,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.78 : 9,844.32 = 2,561.58 : x
  2. Step 2: Convert to fraction form
    6,564.78/9,844.32 = 2,561.58/x
  3. Step 3: Cross multiply
    6,564.78x = 9,844.32 × 2,561.58
  4. Step 4: Simplify right side
    6,564.78x = 25,217,013.23
  5. Step 5: Solve for x
    x = 25,217,013.23/6,564.78
  6. Step 6: Final answer
    x = 3,841.26

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