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Finding the Fourth Proportional to 8,096.64, 12,137.22 and 3,164.64

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Solution

The fourth proportional to 8,096.64, 12,137.22 and 3,164.64 is: 4,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 12,137.22 = 3,164.64 : x
  2. Step 2: Convert to fraction form
    8,096.64/12,137.22 = 3,164.64/x
  3. Step 3: Cross multiply
    8,096.64x = 12,137.22 × 3,164.64
  4. Step 4: Simplify right side
    8,096.64x = 38,409,931.90
  5. Step 5: Solve for x
    x = 38,409,931.90/8,096.64
  6. Step 6: Final answer
    x = 4,743.93

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