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Finding the Fourth Proportional to 6,638.35, 9,161.16 and 3,806.26

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Solution

The fourth proportional to 6,638.35, 9,161.16 and 3,806.26 is: 5,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.35 : 9,161.16 = 3,806.26 : x
  2. Step 2: Convert to fraction form
    6,638.35/9,161.16 = 3,806.26/x
  3. Step 3: Cross multiply
    6,638.35x = 9,161.16 × 3,806.26
  4. Step 4: Simplify right side
    6,638.35x = 34,869,756.86
  5. Step 5: Solve for x
    x = 34,869,756.86/6,638.35
  6. Step 6: Final answer
    x = 5,252.77

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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.