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Finding the Fourth Proportional to 6,160.54, 9,247.04 and 5,462.22

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Solution

The fourth proportional to 6,160.54, 9,247.04 and 5,462.22 is: 8,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.54 : 9,247.04 = 5,462.22 : x
  2. Step 2: Convert to fraction form
    6,160.54/9,247.04 = 5,462.22/x
  3. Step 3: Cross multiply
    6,160.54x = 9,247.04 × 5,462.22
  4. Step 4: Simplify right side
    6,160.54x = 50,509,366.83
  5. Step 5: Solve for x
    x = 50,509,366.83/6,160.54
  6. Step 6: Final answer
    x = 8,198.85

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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.