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Finding the Fourth Proportional to 9,920.37, 14,880.78 and 3,997.86

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Solution

The fourth proportional to 9,920.37, 14,880.78 and 3,997.86 is: 5,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.37 : 14,880.78 = 3,997.86 : x
  2. Step 2: Convert to fraction form
    9,920.37/14,880.78 = 3,997.86/x
  3. Step 3: Cross multiply
    9,920.37x = 14,880.78 × 3,997.86
  4. Step 4: Simplify right side
    9,920.37x = 59,491,275.13
  5. Step 5: Solve for x
    x = 59,491,275.13/9,920.37
  6. Step 6: Final answer
    x = 5,996.88

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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.