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Finding the Fourth Proportional to 6,199.28, 9,298.80 and 1,519.20

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Solution

The fourth proportional to 6,199.28, 9,298.80 and 1,519.20 is: 2,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.28 : 9,298.80 = 1,519.20 : x
  2. Step 2: Convert to fraction form
    6,199.28/9,298.80 = 1,519.20/x
  3. Step 3: Cross multiply
    6,199.28x = 9,298.80 × 1,519.20
  4. Step 4: Simplify right side
    6,199.28x = 14,126,736.96
  5. Step 5: Solve for x
    x = 14,126,736.96/6,199.28
  6. Step 6: Final answer
    x = 2,278.77

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