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Finding the Fourth Proportional to 6,536.09, 9,019.97 and 3,552.09

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Solution

The fourth proportional to 6,536.09, 9,019.97 and 3,552.09 is: 4,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.09 : 9,019.97 = 3,552.09 : x
  2. Step 2: Convert to fraction form
    6,536.09/9,019.97 = 3,552.09/x
  3. Step 3: Cross multiply
    6,536.09x = 9,019.97 × 3,552.09
  4. Step 4: Simplify right side
    6,536.09x = 32,039,745.24
  5. Step 5: Solve for x
    x = 32,039,745.24/6,536.09
  6. Step 6: Final answer
    x = 4,901.97

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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.