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Finding the Fourth Proportional to 9,822.48, 14,733.24 and 3,666

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Solution

The fourth proportional to 9,822.48, 14,733.24 and 3,666 is: 5,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.48 : 14,733.24 = 3,666 : x
  2. Step 2: Convert to fraction form
    9,822.48/14,733.24 = 3,666/x
  3. Step 3: Cross multiply
    9,822.48x = 14,733.24 × 3,666
  4. Step 4: Simplify right side
    9,822.48x = 54,012,057.84
  5. Step 5: Solve for x
    x = 54,012,057.84/9,822.48
  6. Step 6: Final answer
    x = 5,498.82

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