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Finding the Fourth Proportional to 6,499.54, 9,741.75 and 4,160.80

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Solution

The fourth proportional to 6,499.54, 9,741.75 and 4,160.80 is: 6,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.54 : 9,741.75 = 4,160.80 : x
  2. Step 2: Convert to fraction form
    6,499.54/9,741.75 = 4,160.80/x
  3. Step 3: Cross multiply
    6,499.54x = 9,741.75 × 4,160.80
  4. Step 4: Simplify right side
    6,499.54x = 40,533,473.40
  5. Step 5: Solve for x
    x = 40,533,473.40/6,499.54
  6. Step 6: Final answer
    x = 6,236.36

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