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Finding the Fourth Proportional to 6,200.80, 9,301.68 and 1,583.76

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Solution

The fourth proportional to 6,200.80, 9,301.68 and 1,583.76 is: 2,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.80 : 9,301.68 = 1,583.76 : x
  2. Step 2: Convert to fraction form
    6,200.80/9,301.68 = 1,583.76/x
  3. Step 3: Cross multiply
    6,200.80x = 9,301.68 × 1,583.76
  4. Step 4: Simplify right side
    6,200.80x = 14,731,628.72
  5. Step 5: Solve for x
    x = 14,731,628.72/6,200.80
  6. Step 6: Final answer
    x = 2,375.76

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