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Finding the Fourth Proportional to 6,108.99, 9,162.84 and 4,147.23

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Solution

The fourth proportional to 6,108.99, 9,162.84 and 4,147.23 is: 6,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.99 : 9,162.84 = 4,147.23 : x
  2. Step 2: Convert to fraction form
    6,108.99/9,162.84 = 4,147.23/x
  3. Step 3: Cross multiply
    6,108.99x = 9,162.84 × 4,147.23
  4. Step 4: Simplify right side
    6,108.99x = 38,000,404.93
  5. Step 5: Solve for x
    x = 38,000,404.93/6,108.99
  6. Step 6: Final answer
    x = 6,220.41

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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.