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Finding the Fourth Proportional to 6,495.38, 9,742.65 and 2,546.48

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Solution

The fourth proportional to 6,495.38, 9,742.65 and 2,546.48 is: 3,819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.38 : 9,742.65 = 2,546.48 : x
  2. Step 2: Convert to fraction form
    6,495.38/9,742.65 = 2,546.48/x
  3. Step 3: Cross multiply
    6,495.38x = 9,742.65 × 2,546.48
  4. Step 4: Simplify right side
    6,495.38x = 24,809,414.66
  5. Step 5: Solve for x
    x = 24,809,414.66/6,495.38
  6. Step 6: Final answer
    x = 3,819.55

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