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Finding the Fourth Proportional to 6,997.43, 9,665.66 and 5,225.96

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Solution

The fourth proportional to 6,997.43, 9,665.66 and 5,225.96 is: 7,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.43 : 9,665.66 = 5,225.96 : x
  2. Step 2: Convert to fraction form
    6,997.43/9,665.66 = 5,225.96/x
  3. Step 3: Cross multiply
    6,997.43x = 9,665.66 × 5,225.96
  4. Step 4: Simplify right side
    6,997.43x = 50,512,352.53
  5. Step 5: Solve for x
    x = 50,512,352.53/6,997.43
  6. Step 6: Final answer
    x = 7,218.70

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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.