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Finding the Fourth Proportional to 6,199.41, 9,297.16 and 2,038.45

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Solution

The fourth proportional to 6,199.41, 9,297.16 and 2,038.45 is: 3,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.41 : 9,297.16 = 2,038.45 : x
  2. Step 2: Convert to fraction form
    6,199.41/9,297.16 = 2,038.45/x
  3. Step 3: Cross multiply
    6,199.41x = 9,297.16 × 2,038.45
  4. Step 4: Simplify right side
    6,199.41x = 18,951,795.80
  5. Step 5: Solve for x
    x = 18,951,795.80/6,199.41
  6. Step 6: Final answer
    x = 3,057.03

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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.