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Finding the Fourth Proportional to 6,024.96, 9,037.97 and 2,076.97

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Solution

The fourth proportional to 6,024.96, 9,037.97 and 2,076.97 is: 3,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.96 : 9,037.97 = 2,076.97 : x
  2. Step 2: Convert to fraction form
    6,024.96/9,037.97 = 2,076.97/x
  3. Step 3: Cross multiply
    6,024.96x = 9,037.97 × 2,076.97
  4. Step 4: Simplify right side
    6,024.96x = 18,771,592.55
  5. Step 5: Solve for x
    x = 18,771,592.55/6,024.96
  6. Step 6: Final answer
    x = 3,115.64

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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.