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Finding the Fourth Proportional to 9,277.27, 13,915.87 and 2,257.20

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Solution

The fourth proportional to 9,277.27, 13,915.87 and 2,257.20 is: 3,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.27 : 13,915.87 = 2,257.20 : x
  2. Step 2: Convert to fraction form
    9,277.27/13,915.87 = 2,257.20/x
  3. Step 3: Cross multiply
    9,277.27x = 13,915.87 × 2,257.20
  4. Step 4: Simplify right side
    9,277.27x = 31,410,896.12
  5. Step 5: Solve for x
    x = 31,410,896.12/9,277.27
  6. Step 6: Final answer
    x = 3,385.79

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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.