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Finding the Fourth Proportional to 6,108.49, 9,162.09 and 4,146.73

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Solution

The fourth proportional to 6,108.49, 9,162.09 and 4,146.73 is: 6,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.49 : 9,162.09 = 4,146.73 : x
  2. Step 2: Convert to fraction form
    6,108.49/9,162.09 = 4,146.73/x
  3. Step 3: Cross multiply
    6,108.49x = 9,162.09 × 4,146.73
  4. Step 4: Simplify right side
    6,108.49x = 37,992,713.47
  5. Step 5: Solve for x
    x = 37,992,713.47/6,108.49
  6. Step 6: Final answer
    x = 6,219.66

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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.