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Finding the Fourth Proportional to 9,824.54, 14,696.31 and 6,309.14

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Solution

The fourth proportional to 9,824.54, 14,696.31 and 6,309.14 is: 9,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.54 : 14,696.31 = 6,309.14 : x
  2. Step 2: Convert to fraction form
    9,824.54/14,696.31 = 6,309.14/x
  3. Step 3: Cross multiply
    9,824.54x = 14,696.31 × 6,309.14
  4. Step 4: Simplify right side
    9,824.54x = 92,721,077.27
  5. Step 5: Solve for x
    x = 92,721,077.27/9,824.54
  6. Step 6: Final answer
    x = 9,437.70

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