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Finding the Fourth Proportional to 9,206.75, 13,815.59 and 3,662.70

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Solution

The fourth proportional to 9,206.75, 13,815.59 and 3,662.70 is: 5,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.75 : 13,815.59 = 3,662.70 : x
  2. Step 2: Convert to fraction form
    9,206.75/13,815.59 = 3,662.70/x
  3. Step 3: Cross multiply
    9,206.75x = 13,815.59 × 3,662.70
  4. Step 4: Simplify right side
    9,206.75x = 50,602,343.18
  5. Step 5: Solve for x
    x = 50,602,343.18/9,206.75
  6. Step 6: Final answer
    x = 5,496.23

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