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Finding the Fourth Proportional to 6,842.31, 9,442.20 and 3,858.12

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Solution

The fourth proportional to 6,842.31, 9,442.20 and 3,858.12 is: 5,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.31 : 9,442.20 = 3,858.12 : x
  2. Step 2: Convert to fraction form
    6,842.31/9,442.20 = 3,858.12/x
  3. Step 3: Cross multiply
    6,842.31x = 9,442.20 × 3,858.12
  4. Step 4: Simplify right side
    6,842.31x = 36,429,140.66
  5. Step 5: Solve for x
    x = 36,429,140.66/6,842.31
  6. Step 6: Final answer
    x = 5,324.10

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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.