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Finding the Fourth Proportional to 9,606.96, 14,419.08 and 5,227.56

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Solution

The fourth proportional to 9,606.96, 14,419.08 and 5,227.56 is: 7,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.96 : 14,419.08 = 5,227.56 : x
  2. Step 2: Convert to fraction form
    9,606.96/14,419.08 = 5,227.56/x
  3. Step 3: Cross multiply
    9,606.96x = 14,419.08 × 5,227.56
  4. Step 4: Simplify right side
    9,606.96x = 75,376,605.84
  5. Step 5: Solve for x
    x = 75,376,605.84/9,606.96
  6. Step 6: Final answer
    x = 7,846.04

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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.