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Finding the Fourth Proportional to 6,552.55, 9,823.90 and 3,085.75

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Solution

The fourth proportional to 6,552.55, 9,823.90 and 3,085.75 is: 4,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.55 : 9,823.90 = 3,085.75 : x
  2. Step 2: Convert to fraction form
    6,552.55/9,823.90 = 3,085.75/x
  3. Step 3: Cross multiply
    6,552.55x = 9,823.90 × 3,085.75
  4. Step 4: Simplify right side
    6,552.55x = 30,314,099.43
  5. Step 5: Solve for x
    x = 30,314,099.43/6,552.55
  6. Step 6: Final answer
    x = 4,626.31

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