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Finding the Fourth Proportional to 6,906.86, 9,531.33 and 3,763.07

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Solution

The fourth proportional to 6,906.86, 9,531.33 and 3,763.07 is: 5,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.86 : 9,531.33 = 3,763.07 : x
  2. Step 2: Convert to fraction form
    6,906.86/9,531.33 = 3,763.07/x
  3. Step 3: Cross multiply
    6,906.86x = 9,531.33 × 3,763.07
  4. Step 4: Simplify right side
    6,906.86x = 35,867,061.98
  5. Step 5: Solve for x
    x = 35,867,061.98/6,906.86
  6. Step 6: Final answer
    x = 5,192.96

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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.