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Finding the Fourth Proportional to 6,997.72, 9,659.88 and 5,004.82

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Solution

The fourth proportional to 6,997.72, 9,659.88 and 5,004.82 is: 6,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.72 : 9,659.88 = 5,004.82 : x
  2. Step 2: Convert to fraction form
    6,997.72/9,659.88 = 5,004.82/x
  3. Step 3: Cross multiply
    6,997.72x = 9,659.88 × 5,004.82
  4. Step 4: Simplify right side
    6,997.72x = 48,345,960.62
  5. Step 5: Solve for x
    x = 48,345,960.62/6,997.72
  6. Step 6: Final answer
    x = 6,908.82

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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.