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Finding the Fourth Proportional to 9,161.88, 13,722.03 and 5,830.11

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Solution

The fourth proportional to 9,161.88, 13,722.03 and 5,830.11 is: 8,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.88 : 13,722.03 = 5,830.11 : x
  2. Step 2: Convert to fraction form
    9,161.88/13,722.03 = 5,830.11/x
  3. Step 3: Cross multiply
    9,161.88x = 13,722.03 × 5,830.11
  4. Step 4: Simplify right side
    9,161.88x = 80,000,944.32
  5. Step 5: Solve for x
    x = 80,000,944.32/9,161.88
  6. Step 6: Final answer
    x = 8,731.94

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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.