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Finding the Fourth Proportional to 6,524.08, 9,003.12 and 3,691.42

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Solution

The fourth proportional to 6,524.08, 9,003.12 and 3,691.42 is: 5,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.08 : 9,003.12 = 3,691.42 : x
  2. Step 2: Convert to fraction form
    6,524.08/9,003.12 = 3,691.42/x
  3. Step 3: Cross multiply
    6,524.08x = 9,003.12 × 3,691.42
  4. Step 4: Simplify right side
    6,524.08x = 33,234,297.23
  5. Step 5: Solve for x
    x = 33,234,297.23/6,524.08
  6. Step 6: Final answer
    x = 5,094.10

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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.