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Finding the Fourth Proportional to 9,092.64, 13,642.56 and 6,169.44

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Solution

The fourth proportional to 9,092.64, 13,642.56 and 6,169.44 is: 9,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.64 : 13,642.56 = 6,169.44 : x
  2. Step 2: Convert to fraction form
    9,092.64/13,642.56 = 6,169.44/x
  3. Step 3: Cross multiply
    9,092.64x = 13,642.56 × 6,169.44
  4. Step 4: Simplify right side
    9,092.64x = 84,166,955.37
  5. Step 5: Solve for x
    x = 84,166,955.37/9,092.64
  6. Step 6: Final answer
    x = 9,256.60

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