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Finding the Fourth Proportional to 6,099.70, 9,149.55 and 5,297.80

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Solution

The fourth proportional to 6,099.70, 9,149.55 and 5,297.80 is: 7,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.70 : 9,149.55 = 5,297.80 : x
  2. Step 2: Convert to fraction form
    6,099.70/9,149.55 = 5,297.80/x
  3. Step 3: Cross multiply
    6,099.70x = 9,149.55 × 5,297.80
  4. Step 4: Simplify right side
    6,099.70x = 48,472,485.99
  5. Step 5: Solve for x
    x = 48,472,485.99/6,099.70
  6. Step 6: Final answer
    x = 7,946.70

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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.