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Finding the Fourth Proportional to 27,737.25, 41,605.88 and 9,269.25

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Solution

The fourth proportional to 27,737.25, 41,605.88 and 9,269.25 is: 13,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.25 : 41,605.88 = 9,269.25 : x
  2. Step 2: Convert to fraction form
    27,737.25/41,605.88 = 9,269.25/x
  3. Step 3: Cross multiply
    27,737.25x = 41,605.88 × 9,269.25
  4. Step 4: Simplify right side
    27,737.25x = 385,655,303.19
  5. Step 5: Solve for x
    x = 385,655,303.19/27,737.25
  6. Step 6: Final answer
    x = 13,903.88

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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.