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Finding the Fourth Proportional to 6,930.10, 9,563.24 and 3,786.30

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Solution

The fourth proportional to 6,930.10, 9,563.24 and 3,786.30 is: 5,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.10 : 9,563.24 = 3,786.30 : x
  2. Step 2: Convert to fraction form
    6,930.10/9,563.24 = 3,786.30/x
  3. Step 3: Cross multiply
    6,930.10x = 9,563.24 × 3,786.30
  4. Step 4: Simplify right side
    6,930.10x = 36,209,295.61
  5. Step 5: Solve for x
    x = 36,209,295.61/6,930.10
  6. Step 6: Final answer
    x = 5,224.93

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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.