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Finding the Fourth Proportional to 9,331.70, 13,997.84 and 4,137.57

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Solution

The fourth proportional to 9,331.70, 13,997.84 and 4,137.57 is: 6,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.70 : 13,997.84 = 4,137.57 : x
  2. Step 2: Convert to fraction form
    9,331.70/13,997.84 = 4,137.57/x
  3. Step 3: Cross multiply
    9,331.70x = 13,997.84 × 4,137.57
  4. Step 4: Simplify right side
    9,331.70x = 57,917,022.16
  5. Step 5: Solve for x
    x = 57,917,022.16/9,331.70
  6. Step 6: Final answer
    x = 6,206.48

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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.