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Finding the Fourth Proportional to 9,296.38, 13,949.35 and 6,178.53

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Solution

The fourth proportional to 9,296.38, 13,949.35 and 6,178.53 is: 9,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.38 : 13,949.35 = 6,178.53 : x
  2. Step 2: Convert to fraction form
    9,296.38/13,949.35 = 6,178.53/x
  3. Step 3: Cross multiply
    9,296.38x = 13,949.35 × 6,178.53
  4. Step 4: Simplify right side
    9,296.38x = 86,186,477.46
  5. Step 5: Solve for x
    x = 86,186,477.46/9,296.38
  6. Step 6: Final answer
    x = 9,270.97

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