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Finding the Fourth Proportional to 6,977, 9,628.20 and 3,790.26

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Solution

The fourth proportional to 6,977, 9,628.20 and 3,790.26 is: 5,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977 : 9,628.20 = 3,790.26 : x
  2. Step 2: Convert to fraction form
    6,977/9,628.20 = 3,790.26/x
  3. Step 3: Cross multiply
    6,977x = 9,628.20 × 3,790.26
  4. Step 4: Simplify right side
    6,977x = 36,493,381.33
  5. Step 5: Solve for x
    x = 36,493,381.33/6,977
  6. Step 6: Final answer
    x = 5,230.53

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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.