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Finding the Fourth Proportional to 9,520.92, 13,137.31 and 5,981.63

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Solution

The fourth proportional to 9,520.92, 13,137.31 and 5,981.63 is: 8,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.92 : 13,137.31 = 5,981.63 : x
  2. Step 2: Convert to fraction form
    9,520.92/13,137.31 = 5,981.63/x
  3. Step 3: Cross multiply
    9,520.92x = 13,137.31 × 5,981.63
  4. Step 4: Simplify right side
    9,520.92x = 78,582,446.97
  5. Step 5: Solve for x
    x = 78,582,446.97/9,520.92
  6. Step 6: Final answer
    x = 8,253.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.