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Finding the Fourth Proportional to 6,141.76, 9,214.46 and 2,856.80

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Solution

The fourth proportional to 6,141.76, 9,214.46 and 2,856.80 is: 4,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.76 : 9,214.46 = 2,856.80 : x
  2. Step 2: Convert to fraction form
    6,141.76/9,214.46 = 2,856.80/x
  3. Step 3: Cross multiply
    6,141.76x = 9,214.46 × 2,856.80
  4. Step 4: Simplify right side
    6,141.76x = 26,323,869.33
  5. Step 5: Solve for x
    x = 26,323,869.33/6,141.76
  6. Step 6: Final answer
    x = 4,286.05

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