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Finding the Fourth Proportional to 6,574.67, 9,866.31 and 2,414.71

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Solution

The fourth proportional to 6,574.67, 9,866.31 and 2,414.71 is: 3,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.67 : 9,866.31 = 2,414.71 : x
  2. Step 2: Convert to fraction form
    6,574.67/9,866.31 = 2,414.71/x
  3. Step 3: Cross multiply
    6,574.67x = 9,866.31 × 2,414.71
  4. Step 4: Simplify right side
    6,574.67x = 23,824,301.07
  5. Step 5: Solve for x
    x = 23,824,301.07/6,574.67
  6. Step 6: Final answer
    x = 3,623.65

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