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Finding the Fourth Proportional to 6,289.76, 9,434.61 and 1,609.76

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Solution

The fourth proportional to 6,289.76, 9,434.61 and 1,609.76 is: 2,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.76 : 9,434.61 = 1,609.76 : x
  2. Step 2: Convert to fraction form
    6,289.76/9,434.61 = 1,609.76/x
  3. Step 3: Cross multiply
    6,289.76x = 9,434.61 × 1,609.76
  4. Step 4: Simplify right side
    6,289.76x = 15,187,481.38
  5. Step 5: Solve for x
    x = 15,187,481.38/6,289.76
  6. Step 6: Final answer
    x = 2,414.64

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