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Finding the Fourth Proportional to 6,993.18, 9,650.34 and 3,806.31

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Solution

The fourth proportional to 6,993.18, 9,650.34 and 3,806.31 is: 5,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.18 : 9,650.34 = 3,806.31 : x
  2. Step 2: Convert to fraction form
    6,993.18/9,650.34 = 3,806.31/x
  3. Step 3: Cross multiply
    6,993.18x = 9,650.34 × 3,806.31
  4. Step 4: Simplify right side
    6,993.18x = 36,732,185.65
  5. Step 5: Solve for x
    x = 36,732,185.65/6,993.18
  6. Step 6: Final answer
    x = 5,252.57

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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.