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Finding the Fourth Proportional to 6,997.62, 9,656.36 and 3,853.20

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Solution

The fourth proportional to 6,997.62, 9,656.36 and 3,853.20 is: 5,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.62 : 9,656.36 = 3,853.20 : x
  2. Step 2: Convert to fraction form
    6,997.62/9,656.36 = 3,853.20/x
  3. Step 3: Cross multiply
    6,997.62x = 9,656.36 × 3,853.20
  4. Step 4: Simplify right side
    6,997.62x = 37,207,939.42
  5. Step 5: Solve for x
    x = 37,207,939.42/6,997.62
  6. Step 6: Final answer
    x = 5,317.22

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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.