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Finding the Fourth Proportional to 9,103.92, 13,627.26 and 6,276.24

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Solution

The fourth proportional to 9,103.92, 13,627.26 and 6,276.24 is: 9,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.92 : 13,627.26 = 6,276.24 : x
  2. Step 2: Convert to fraction form
    9,103.92/13,627.26 = 6,276.24/x
  3. Step 3: Cross multiply
    9,103.92x = 13,627.26 × 6,276.24
  4. Step 4: Simplify right side
    9,103.92x = 85,527,954.30
  5. Step 5: Solve for x
    x = 85,527,954.30/9,103.92
  6. Step 6: Final answer
    x = 9,394.63

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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.