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Finding the Fourth Proportional to 9,092.40, 13,642.44 and 3,828.75

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Solution

The fourth proportional to 9,092.40, 13,642.44 and 3,828.75 is: 5,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.40 : 13,642.44 = 3,828.75 : x
  2. Step 2: Convert to fraction form
    9,092.40/13,642.44 = 3,828.75/x
  3. Step 3: Cross multiply
    9,092.40x = 13,642.44 × 3,828.75
  4. Step 4: Simplify right side
    9,092.40x = 52,233,492.15
  5. Step 5: Solve for x
    x = 52,233,492.15/9,092.40
  6. Step 6: Final answer
    x = 5,744.74

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