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Finding the Fourth Proportional to 9,591.54, 14,385.75 and 6,809.80

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Solution

The fourth proportional to 9,591.54, 14,385.75 and 6,809.80 is: 10,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.54 : 14,385.75 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    9,591.54/14,385.75 = 6,809.80/x
  3. Step 3: Cross multiply
    9,591.54x = 14,385.75 × 6,809.80
  4. Step 4: Simplify right side
    9,591.54x = 97,964,043.67
  5. Step 5: Solve for x
    x = 97,964,043.67/9,591.54
  6. Step 6: Final answer
    x = 10,213.59

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