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Finding the Fourth Proportional to 6,456.91, 9,692.66 and 2,564.05

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Solution

The fourth proportional to 6,456.91, 9,692.66 and 2,564.05 is: 3,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.91 : 9,692.66 = 2,564.05 : x
  2. Step 2: Convert to fraction form
    6,456.91/9,692.66 = 2,564.05/x
  3. Step 3: Cross multiply
    6,456.91x = 9,692.66 × 2,564.05
  4. Step 4: Simplify right side
    6,456.91x = 24,852,464.87
  5. Step 5: Solve for x
    x = 24,852,464.87/6,456.91
  6. Step 6: Final answer
    x = 3,848.97

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