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Finding the Fourth Proportional to 9,825.88, 14,738.99 and 5,471.02

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Solution

The fourth proportional to 9,825.88, 14,738.99 and 5,471.02 is: 8,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.88 : 14,738.99 = 5,471.02 : x
  2. Step 2: Convert to fraction form
    9,825.88/14,738.99 = 5,471.02/x
  3. Step 3: Cross multiply
    9,825.88x = 14,738.99 × 5,471.02
  4. Step 4: Simplify right side
    9,825.88x = 80,637,281.71
  5. Step 5: Solve for x
    x = 80,637,281.71/9,825.88
  6. Step 6: Final answer
    x = 8,206.62

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