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Finding the Fourth Proportional to 27,737.13, 41,605.69 and 9,269.13

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Solution

The fourth proportional to 27,737.13, 41,605.69 and 9,269.13 is: 13,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.13 : 41,605.69 = 9,269.13 : x
  2. Step 2: Convert to fraction form
    27,737.13/41,605.69 = 9,269.13/x
  3. Step 3: Cross multiply
    27,737.13x = 41,605.69 × 9,269.13
  4. Step 4: Simplify right side
    27,737.13x = 385,648,318.15
  5. Step 5: Solve for x
    x = 385,648,318.15/27,737.13
  6. Step 6: Final answer
    x = 13,903.69

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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.