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Finding the Fourth Proportional to 27,737.38, 41,606.07 and 9,269.38

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Solution

The fourth proportional to 27,737.38, 41,606.07 and 9,269.38 is: 13,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.38 : 41,606.07 = 9,269.38 : x
  2. Step 2: Convert to fraction form
    27,737.38/41,606.07 = 9,269.38/x
  3. Step 3: Cross multiply
    27,737.38x = 41,606.07 × 9,269.38
  4. Step 4: Simplify right side
    27,737.38x = 385,662,473.14
  5. Step 5: Solve for x
    x = 385,662,473.14/27,737.38
  6. Step 6: Final answer
    x = 13,904.07

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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.