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Finding the Fourth Proportional to 6,442.97, 8,891.12 and 4,200.59

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Solution

The fourth proportional to 6,442.97, 8,891.12 and 4,200.59 is: 5,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.97 : 8,891.12 = 4,200.59 : x
  2. Step 2: Convert to fraction form
    6,442.97/8,891.12 = 4,200.59/x
  3. Step 3: Cross multiply
    6,442.97x = 8,891.12 × 4,200.59
  4. Step 4: Simplify right side
    6,442.97x = 37,347,982.49
  5. Step 5: Solve for x
    x = 37,347,982.49/6,442.97
  6. Step 6: Final answer
    x = 5,796.71

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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.