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Finding the Fourth Proportional to 6,199.17, 9,299.37 and 2,037.49

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Solution

The fourth proportional to 6,199.17, 9,299.37 and 2,037.49 is: 3,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.17 : 9,299.37 = 2,037.49 : x
  2. Step 2: Convert to fraction form
    6,199.17/9,299.37 = 2,037.49/x
  3. Step 3: Cross multiply
    6,199.17x = 9,299.37 × 2,037.49
  4. Step 4: Simplify right side
    6,199.17x = 18,947,368.29
  5. Step 5: Solve for x
    x = 18,947,368.29/6,199.17
  6. Step 6: Final answer
    x = 3,056.44

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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.