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Finding the Fourth Proportional to 6,512.60, 9,768.92 and 1,582.22

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Solution

The fourth proportional to 6,512.60, 9,768.92 and 1,582.22 is: 2,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.60 : 9,768.92 = 1,582.22 : x
  2. Step 2: Convert to fraction form
    6,512.60/9,768.92 = 1,582.22/x
  3. Step 3: Cross multiply
    6,512.60x = 9,768.92 × 1,582.22
  4. Step 4: Simplify right side
    6,512.60x = 15,456,523.85
  5. Step 5: Solve for x
    x = 15,456,523.85/6,512.60
  6. Step 6: Final answer
    x = 2,373.33

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