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Finding the Fourth Proportional to 9,122.27, 13,688.81 and 3,856.99

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Solution

The fourth proportional to 9,122.27, 13,688.81 and 3,856.99 is: 5,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.27 : 13,688.81 = 3,856.99 : x
  2. Step 2: Convert to fraction form
    9,122.27/13,688.81 = 3,856.99/x
  3. Step 3: Cross multiply
    9,122.27x = 13,688.81 × 3,856.99
  4. Step 4: Simplify right side
    9,122.27x = 52,797,610.75
  5. Step 5: Solve for x
    x = 52,797,610.75/9,122.27
  6. Step 6: Final answer
    x = 5,787.77

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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.