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Finding the Fourth Proportional to 9,569.78, 13,204.77 and 5,792.30

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Solution

The fourth proportional to 9,569.78, 13,204.77 and 5,792.30 is: 7,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.78 : 13,204.77 = 5,792.30 : x
  2. Step 2: Convert to fraction form
    9,569.78/13,204.77 = 5,792.30/x
  3. Step 3: Cross multiply
    9,569.78x = 13,204.77 × 5,792.30
  4. Step 4: Simplify right side
    9,569.78x = 76,485,989.27
  5. Step 5: Solve for x
    x = 76,485,989.27/9,569.78
  6. Step 6: Final answer
    x = 7,992.45

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