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Finding the Fourth Proportional to 9,786.91, 14,675.56 and 6,826.77

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Solution

The fourth proportional to 9,786.91, 14,675.56 and 6,826.77 is: 10,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.91 : 14,675.56 = 6,826.77 : x
  2. Step 2: Convert to fraction form
    9,786.91/14,675.56 = 6,826.77/x
  3. Step 3: Cross multiply
    9,786.91x = 14,675.56 × 6,826.77
  4. Step 4: Simplify right side
    9,786.91x = 100,186,672.74
  5. Step 5: Solve for x
    x = 100,186,672.74/9,786.91
  6. Step 6: Final answer
    x = 10,236.80

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