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Finding the Fourth Proportional to 6,211.81, 9,319.34 and 1,829.13

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Solution

The fourth proportional to 6,211.81, 9,319.34 and 1,829.13 is: 2,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.81 : 9,319.34 = 1,829.13 : x
  2. Step 2: Convert to fraction form
    6,211.81/9,319.34 = 1,829.13/x
  3. Step 3: Cross multiply
    6,211.81x = 9,319.34 × 1,829.13
  4. Step 4: Simplify right side
    6,211.81x = 17,046,284.37
  5. Step 5: Solve for x
    x = 17,046,284.37/6,211.81
  6. Step 6: Final answer
    x = 2,744.17

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