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Finding the Fourth Proportional to 6,589.43, 9,877.80 and 3,813.56

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Solution

The fourth proportional to 6,589.43, 9,877.80 and 3,813.56 is: 5,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.43 : 9,877.80 = 3,813.56 : x
  2. Step 2: Convert to fraction form
    6,589.43/9,877.80 = 3,813.56/x
  3. Step 3: Cross multiply
    6,589.43x = 9,877.80 × 3,813.56
  4. Step 4: Simplify right side
    6,589.43x = 37,669,582.97
  5. Step 5: Solve for x
    x = 37,669,582.97/6,589.43
  6. Step 6: Final answer
    x = 5,716.67

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