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Finding the Fourth Proportional to 6,475.57, 9,713.36 and 2,582.71

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Solution

The fourth proportional to 6,475.57, 9,713.36 and 2,582.71 is: 3,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.57 : 9,713.36 = 2,582.71 : x
  2. Step 2: Convert to fraction form
    6,475.57/9,713.36 = 2,582.71/x
  3. Step 3: Cross multiply
    6,475.57x = 9,713.36 × 2,582.71
  4. Step 4: Simplify right side
    6,475.57x = 25,086,783.34
  5. Step 5: Solve for x
    x = 25,086,783.34/6,475.57
  6. Step 6: Final answer
    x = 3,874.07

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