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Finding the Fourth Proportional to 9,832.38, 14,736.27 and 7,744.14

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Solution

The fourth proportional to 9,832.38, 14,736.27 and 7,744.14 is: 11,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.38 : 14,736.27 = 7,744.14 : x
  2. Step 2: Convert to fraction form
    9,832.38/14,736.27 = 7,744.14/x
  3. Step 3: Cross multiply
    9,832.38x = 14,736.27 × 7,744.14
  4. Step 4: Simplify right side
    9,832.38x = 114,119,737.96
  5. Step 5: Solve for x
    x = 114,119,737.96/9,832.38
  6. Step 6: Final answer
    x = 11,606.52

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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.