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Finding the Fourth Proportional to 6,446.52, 9,657.12 and 3,664.86

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Solution

The fourth proportional to 6,446.52, 9,657.12 and 3,664.86 is: 5,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.52 : 9,657.12 = 3,664.86 : x
  2. Step 2: Convert to fraction form
    6,446.52/9,657.12 = 3,664.86/x
  3. Step 3: Cross multiply
    6,446.52x = 9,657.12 × 3,664.86
  4. Step 4: Simplify right side
    6,446.52x = 35,391,992.80
  5. Step 5: Solve for x
    x = 35,391,992.80/6,446.52
  6. Step 6: Final answer
    x = 5,490.09

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