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Finding the Fourth Proportional to 9,892.37, 14,842.49 and 7,273.11

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Solution

The fourth proportional to 9,892.37, 14,842.49 and 7,273.11 is: 10,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.37 : 14,842.49 = 7,273.11 : x
  2. Step 2: Convert to fraction form
    9,892.37/14,842.49 = 7,273.11/x
  3. Step 3: Cross multiply
    9,892.37x = 14,842.49 × 7,273.11
  4. Step 4: Simplify right side
    9,892.37x = 107,951,026.08
  5. Step 5: Solve for x
    x = 107,951,026.08/9,892.37
  6. Step 6: Final answer
    x = 10,912.56

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Why These Related Problems?

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