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Finding the Fourth Proportional to 6,209.83, 9,314.74 and 1,826.94

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Solution

The fourth proportional to 6,209.83, 9,314.74 and 1,826.94 is: 2,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.83 : 9,314.74 = 1,826.94 : x
  2. Step 2: Convert to fraction form
    6,209.83/9,314.74 = 1,826.94/x
  3. Step 3: Cross multiply
    6,209.83x = 9,314.74 × 1,826.94
  4. Step 4: Simplify right side
    6,209.83x = 17,017,493.93
  5. Step 5: Solve for x
    x = 17,017,493.93/6,209.83
  6. Step 6: Final answer
    x = 2,740.41

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