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Finding the Fourth Proportional to 6,997.32, 9,656.04 and 3,972.01

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Solution

The fourth proportional to 6,997.32, 9,656.04 and 3,972.01 is: 5,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 9,656.04 = 3,972.01 : x
  2. Step 2: Convert to fraction form
    6,997.32/9,656.04 = 3,972.01/x
  3. Step 3: Cross multiply
    6,997.32x = 9,656.04 × 3,972.01
  4. Step 4: Simplify right side
    6,997.32x = 38,353,887.44
  5. Step 5: Solve for x
    x = 38,353,887.44/6,997.32
  6. Step 6: Final answer
    x = 5,481.23

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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.