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Finding the Fourth Proportional to 9,727.73, 14,499.06 and 9,174.10

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Solution

The fourth proportional to 9,727.73, 14,499.06 and 9,174.10 is: 13,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.73 : 14,499.06 = 9,174.10 : x
  2. Step 2: Convert to fraction form
    9,727.73/14,499.06 = 9,174.10/x
  3. Step 3: Cross multiply
    9,727.73x = 14,499.06 × 9,174.10
  4. Step 4: Simplify right side
    9,727.73x = 133,015,753.85
  5. Step 5: Solve for x
    x = 133,015,753.85/9,727.73
  6. Step 6: Final answer
    x = 13,673.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.