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Finding the Fourth Proportional to 6,720.96, 9,269.76 and 5,965.52

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Solution

The fourth proportional to 6,720.96, 9,269.76 and 5,965.52 is: 8,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.96 : 9,269.76 = 5,965.52 : x
  2. Step 2: Convert to fraction form
    6,720.96/9,269.76 = 5,965.52/x
  3. Step 3: Cross multiply
    6,720.96x = 9,269.76 × 5,965.52
  4. Step 4: Simplify right side
    6,720.96x = 55,298,938.68
  5. Step 5: Solve for x
    x = 55,298,938.68/6,720.96
  6. Step 6: Final answer
    x = 8,227.83

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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.