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Finding the Fourth Proportional to 9,586.81, 14,369.52 and 7,239.19

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Solution

The fourth proportional to 9,586.81, 14,369.52 and 7,239.19 is: 10,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.81 : 14,369.52 = 7,239.19 : x
  2. Step 2: Convert to fraction form
    9,586.81/14,369.52 = 7,239.19/x
  3. Step 3: Cross multiply
    9,586.81x = 14,369.52 × 7,239.19
  4. Step 4: Simplify right side
    9,586.81x = 104,023,685.49
  5. Step 5: Solve for x
    x = 104,023,685.49/9,586.81
  6. Step 6: Final answer
    x = 10,850.71

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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.