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Finding the Fourth Proportional to 6,378.80, 9,541.20 and 5,725.40

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Solution

The fourth proportional to 6,378.80, 9,541.20 and 5,725.40 is: 8,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.80 : 9,541.20 = 5,725.40 : x
  2. Step 2: Convert to fraction form
    6,378.80/9,541.20 = 5,725.40/x
  3. Step 3: Cross multiply
    6,378.80x = 9,541.20 × 5,725.40
  4. Step 4: Simplify right side
    6,378.80x = 54,627,186.48
  5. Step 5: Solve for x
    x = 54,627,186.48/6,378.80
  6. Step 6: Final answer
    x = 8,563.87

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