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Finding the Fourth Proportional to 9,442.22, 14,165.02 and 3,892.48

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Solution

The fourth proportional to 9,442.22, 14,165.02 and 3,892.48 is: 5,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.22 : 14,165.02 = 3,892.48 : x
  2. Step 2: Convert to fraction form
    9,442.22/14,165.02 = 3,892.48/x
  3. Step 3: Cross multiply
    9,442.22x = 14,165.02 × 3,892.48
  4. Step 4: Simplify right side
    9,442.22x = 55,137,057.05
  5. Step 5: Solve for x
    x = 55,137,057.05/9,442.22
  6. Step 6: Final answer
    x = 5,839.42

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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.