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Finding the Fourth Proportional to 6,209.20, 8,566.80 and 4,084.12

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Solution

The fourth proportional to 6,209.20, 8,566.80 and 4,084.12 is: 5,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.20 : 8,566.80 = 4,084.12 : x
  2. Step 2: Convert to fraction form
    6,209.20/8,566.80 = 4,084.12/x
  3. Step 3: Cross multiply
    6,209.20x = 8,566.80 × 4,084.12
  4. Step 4: Simplify right side
    6,209.20x = 34,987,839.22
  5. Step 5: Solve for x
    x = 34,987,839.22/6,209.20
  6. Step 6: Final answer
    x = 5,634.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.