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Finding the Fourth Proportional to 6,840.97, 9,442.11 and 4,189.84

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Solution

The fourth proportional to 6,840.97, 9,442.11 and 4,189.84 is: 5,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.97 : 9,442.11 = 4,189.84 : x
  2. Step 2: Convert to fraction form
    6,840.97/9,442.11 = 4,189.84/x
  3. Step 3: Cross multiply
    6,840.97x = 9,442.11 × 4,189.84
  4. Step 4: Simplify right side
    6,840.97x = 39,560,930.16
  5. Step 5: Solve for x
    x = 39,560,930.16/6,840.97
  6. Step 6: Final answer
    x = 5,782.94

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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.