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Finding the Fourth Proportional to 9,140.64, 13,709.76 and 3,942.24

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Solution

The fourth proportional to 9,140.64, 13,709.76 and 3,942.24 is: 5,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.64 : 13,709.76 = 3,942.24 : x
  2. Step 2: Convert to fraction form
    9,140.64/13,709.76 = 3,942.24/x
  3. Step 3: Cross multiply
    9,140.64x = 13,709.76 × 3,942.24
  4. Step 4: Simplify right side
    9,140.64x = 54,047,164.26
  5. Step 5: Solve for x
    x = 54,047,164.26/9,140.64
  6. Step 6: Final answer
    x = 5,912.84

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