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Finding the Fourth Proportional to 9,257.64, 13,885.56 and 5,096.28

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Solution

The fourth proportional to 9,257.64, 13,885.56 and 5,096.28 is: 7,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.64 : 13,885.56 = 5,096.28 : x
  2. Step 2: Convert to fraction form
    9,257.64/13,885.56 = 5,096.28/x
  3. Step 3: Cross multiply
    9,257.64x = 13,885.56 × 5,096.28
  4. Step 4: Simplify right side
    9,257.64x = 70,764,701.72
  5. Step 5: Solve for x
    x = 70,764,701.72/9,257.64
  6. Step 6: Final answer
    x = 7,643.92

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