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Finding the Fourth Proportional to 12,442.05, 18,638.06 and 6,183.14

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Solution

The fourth proportional to 12,442.05, 18,638.06 and 6,183.14 is: 9,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.05 : 18,638.06 = 6,183.14 : x
  2. Step 2: Convert to fraction form
    12,442.05/18,638.06 = 6,183.14/x
  3. Step 3: Cross multiply
    12,442.05x = 18,638.06 × 6,183.14
  4. Step 4: Simplify right side
    12,442.05x = 115,241,610.20
  5. Step 5: Solve for x
    x = 115,241,610.20/12,442.05
  6. Step 6: Final answer
    x = 9,262.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.