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Finding the Fourth Proportional to 6,536.86, 9,020.67 and 3,552.61

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Solution

The fourth proportional to 6,536.86, 9,020.67 and 3,552.61 is: 4,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.86 : 9,020.67 = 3,552.61 : x
  2. Step 2: Convert to fraction form
    6,536.86/9,020.67 = 3,552.61/x
  3. Step 3: Cross multiply
    6,536.86x = 9,020.67 × 3,552.61
  4. Step 4: Simplify right side
    6,536.86x = 32,046,922.45
  5. Step 5: Solve for x
    x = 32,046,922.45/6,536.86
  6. Step 6: Final answer
    x = 4,902.49

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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.