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Finding the Fourth Proportional to 6,385.38, 9,569.96 and 2,871.64

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Solution

The fourth proportional to 6,385.38, 9,569.96 and 2,871.64 is: 4,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.38 : 9,569.96 = 2,871.64 : x
  2. Step 2: Convert to fraction form
    6,385.38/9,569.96 = 2,871.64/x
  3. Step 3: Cross multiply
    6,385.38x = 9,569.96 × 2,871.64
  4. Step 4: Simplify right side
    6,385.38x = 27,481,479.93
  5. Step 5: Solve for x
    x = 27,481,479.93/6,385.38
  6. Step 6: Final answer
    x = 4,303.81

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