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Finding the Fourth Proportional to 9,722.16, 13,416.12 and 5,995.44

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Solution

The fourth proportional to 9,722.16, 13,416.12 and 5,995.44 is: 8,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.16 : 13,416.12 = 5,995.44 : x
  2. Step 2: Convert to fraction form
    9,722.16/13,416.12 = 5,995.44/x
  3. Step 3: Cross multiply
    9,722.16x = 13,416.12 × 5,995.44
  4. Step 4: Simplify right side
    9,722.16x = 80,435,542.49
  5. Step 5: Solve for x
    x = 80,435,542.49/9,722.16
  6. Step 6: Final answer
    x = 8,273.42

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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.