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Finding the Fourth Proportional to 6,209.74, 8,573.27 and 4,272.78

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Solution

The fourth proportional to 6,209.74, 8,573.27 and 4,272.78 is: 5,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.74 : 8,573.27 = 4,272.78 : x
  2. Step 2: Convert to fraction form
    6,209.74/8,573.27 = 4,272.78/x
  3. Step 3: Cross multiply
    6,209.74x = 8,573.27 × 4,272.78
  4. Step 4: Simplify right side
    6,209.74x = 36,631,647.06
  5. Step 5: Solve for x
    x = 36,631,647.06/6,209.74
  6. Step 6: Final answer
    x = 5,899.06

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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.