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Finding the Fourth Proportional to 6,499.38, 9,749.69 and 1,819.40

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Solution

The fourth proportional to 6,499.38, 9,749.69 and 1,819.40 is: 2,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.38 : 9,749.69 = 1,819.40 : x
  2. Step 2: Convert to fraction form
    6,499.38/9,749.69 = 1,819.40/x
  3. Step 3: Cross multiply
    6,499.38x = 9,749.69 × 1,819.40
  4. Step 4: Simplify right side
    6,499.38x = 17,738,534.96
  5. Step 5: Solve for x
    x = 17,738,534.96/6,499.38
  6. Step 6: Final answer
    x = 2,729.26

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