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Finding the Fourth Proportional to 6,738.82, 10,102.02 and 6,185.32

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Solution

The fourth proportional to 6,738.82, 10,102.02 and 6,185.32 is: 9,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.82 : 10,102.02 = 6,185.32 : x
  2. Step 2: Convert to fraction form
    6,738.82/10,102.02 = 6,185.32/x
  3. Step 3: Cross multiply
    6,738.82x = 10,102.02 × 6,185.32
  4. Step 4: Simplify right side
    6,738.82x = 62,484,226.35
  5. Step 5: Solve for x
    x = 62,484,226.35/6,738.82
  6. Step 6: Final answer
    x = 9,272.28

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