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Finding the Fourth Proportional to 6,930.23, 9,563.93 and 3,786.41

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Solution

The fourth proportional to 6,930.23, 9,563.93 and 3,786.41 is: 5,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.23 : 9,563.93 = 3,786.41 : x
  2. Step 2: Convert to fraction form
    6,930.23/9,563.93 = 3,786.41/x
  3. Step 3: Cross multiply
    6,930.23x = 9,563.93 × 3,786.41
  4. Step 4: Simplify right side
    6,930.23x = 36,212,993.57
  5. Step 5: Solve for x
    x = 36,212,993.57/6,930.23
  6. Step 6: Final answer
    x = 5,225.37

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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.