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Finding the Fourth Proportional to 9,583.61, 14,374.41 and 2,564.33

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Solution

The fourth proportional to 9,583.61, 14,374.41 and 2,564.33 is: 3,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.61 : 14,374.41 = 2,564.33 : x
  2. Step 2: Convert to fraction form
    9,583.61/14,374.41 = 2,564.33/x
  3. Step 3: Cross multiply
    9,583.61x = 14,374.41 × 2,564.33
  4. Step 4: Simplify right side
    9,583.61x = 36,860,766.73
  5. Step 5: Solve for x
    x = 36,860,766.73/9,583.61
  6. Step 6: Final answer
    x = 3,846.23

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