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Finding the Fourth Proportional to 6,145.85, 9,200.55 and 3,679.40

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Solution

The fourth proportional to 6,145.85, 9,200.55 and 3,679.40 is: 5,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.85 : 9,200.55 = 3,679.40 : x
  2. Step 2: Convert to fraction form
    6,145.85/9,200.55 = 3,679.40/x
  3. Step 3: Cross multiply
    6,145.85x = 9,200.55 × 3,679.40
  4. Step 4: Simplify right side
    6,145.85x = 33,852,503.67
  5. Step 5: Solve for x
    x = 33,852,503.67/6,145.85
  6. Step 6: Final answer
    x = 5,508.19

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