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Finding the Fourth Proportional to 6,199.42, 9,299.74 and 2,037.74

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Solution

The fourth proportional to 6,199.42, 9,299.74 and 2,037.74 is: 3,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.42 : 9,299.74 = 2,037.74 : x
  2. Step 2: Convert to fraction form
    6,199.42/9,299.74 = 2,037.74/x
  3. Step 3: Cross multiply
    6,199.42x = 9,299.74 × 2,037.74
  4. Step 4: Simplify right side
    6,199.42x = 18,950,457.28
  5. Step 5: Solve for x
    x = 18,950,457.28/6,199.42
  6. Step 6: Final answer
    x = 3,056.81

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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.