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Finding the Fourth Proportional to 9,766.88, 14,646.22 and 3,842.84

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Solution

The fourth proportional to 9,766.88, 14,646.22 and 3,842.84 is: 5,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.88 : 14,646.22 = 3,842.84 : x
  2. Step 2: Convert to fraction form
    9,766.88/14,646.22 = 3,842.84/x
  3. Step 3: Cross multiply
    9,766.88x = 14,646.22 × 3,842.84
  4. Step 4: Simplify right side
    9,766.88x = 56,283,107.07
  5. Step 5: Solve for x
    x = 56,283,107.07/9,766.88
  6. Step 6: Final answer
    x = 5,762.65

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