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Finding the Fourth Proportional to 27,737, 41,605.50 and 9,269

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Solution

The fourth proportional to 27,737, 41,605.50 and 9,269 is: 13,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 41,605.50 = 9,269 : x
  2. Step 2: Convert to fraction form
    27,737/41,605.50 = 9,269/x
  3. Step 3: Cross multiply
    27,737x = 41,605.50 × 9,269
  4. Step 4: Simplify right side
    27,737x = 385,641,379.50
  5. Step 5: Solve for x
    x = 385,641,379.50/27,737
  6. Step 6: Final answer
    x = 13,903.50

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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.