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Finding the Fourth Proportional to 6,971.13, 9,561.17 and 6,183.81

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Solution

The fourth proportional to 6,971.13, 9,561.17 and 6,183.81 is: 8,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.13 : 9,561.17 = 6,183.81 : x
  2. Step 2: Convert to fraction form
    6,971.13/9,561.17 = 6,183.81/x
  3. Step 3: Cross multiply
    6,971.13x = 9,561.17 × 6,183.81
  4. Step 4: Simplify right side
    6,971.13x = 59,124,474.12
  5. Step 5: Solve for x
    x = 59,124,474.12/6,971.13
  6. Step 6: Final answer
    x = 8,481.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.