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Finding the Fourth Proportional to 6,160.08, 9,212.67 and 5,471.22

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Solution

The fourth proportional to 6,160.08, 9,212.67 and 5,471.22 is: 8,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.08 : 9,212.67 = 5,471.22 : x
  2. Step 2: Convert to fraction form
    6,160.08/9,212.67 = 5,471.22/x
  3. Step 3: Cross multiply
    6,160.08x = 9,212.67 × 5,471.22
  4. Step 4: Simplify right side
    6,160.08x = 50,404,544.36
  5. Step 5: Solve for x
    x = 50,404,544.36/6,160.08
  6. Step 6: Final answer
    x = 8,182.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.