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Finding the Fourth Proportional to 6,452.46, 9,685.98 and 3,825.63

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Solution

The fourth proportional to 6,452.46, 9,685.98 and 3,825.63 is: 5,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.46 : 9,685.98 = 3,825.63 : x
  2. Step 2: Convert to fraction form
    6,452.46/9,685.98 = 3,825.63/x
  3. Step 3: Cross multiply
    6,452.46x = 9,685.98 × 3,825.63
  4. Step 4: Simplify right side
    6,452.46x = 37,054,975.67
  5. Step 5: Solve for x
    x = 37,054,975.67/6,452.46
  6. Step 6: Final answer
    x = 5,742.77

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