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Finding the Fourth Proportional to 6,773.96, 9,348.84 and 3,790.55

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Solution

The fourth proportional to 6,773.96, 9,348.84 and 3,790.55 is: 5,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.96 : 9,348.84 = 3,790.55 : x
  2. Step 2: Convert to fraction form
    6,773.96/9,348.84 = 3,790.55/x
  3. Step 3: Cross multiply
    6,773.96x = 9,348.84 × 3,790.55
  4. Step 4: Simplify right side
    6,773.96x = 35,437,245.46
  5. Step 5: Solve for x
    x = 35,437,245.46/6,773.96
  6. Step 6: Final answer
    x = 5,231.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.