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Finding the Fourth Proportional to 9,331.57, 13,997.19 and 2,311.57

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Solution

The fourth proportional to 9,331.57, 13,997.19 and 2,311.57 is: 3,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.57 : 13,997.19 = 2,311.57 : x
  2. Step 2: Convert to fraction form
    9,331.57/13,997.19 = 2,311.57/x
  3. Step 3: Cross multiply
    9,331.57x = 13,997.19 × 2,311.57
  4. Step 4: Simplify right side
    9,331.57x = 32,355,484.49
  5. Step 5: Solve for x
    x = 32,355,484.49/9,331.57
  6. Step 6: Final answer
    x = 3,467.31

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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.