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Finding the Fourth Proportional to 6,105.98, 9,153.97 and 5,062.70

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Solution

The fourth proportional to 6,105.98, 9,153.97 and 5,062.70 is: 7,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.98 : 9,153.97 = 5,062.70 : x
  2. Step 2: Convert to fraction form
    6,105.98/9,153.97 = 5,062.70/x
  3. Step 3: Cross multiply
    6,105.98x = 9,153.97 × 5,062.70
  4. Step 4: Simplify right side
    6,105.98x = 46,343,803.92
  5. Step 5: Solve for x
    x = 46,343,803.92/6,105.98
  6. Step 6: Final answer
    x = 7,589.90

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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.