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Finding the Fourth Proportional to 6,294.97, 8,688.89 and 4,199.09

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Solution

The fourth proportional to 6,294.97, 8,688.89 and 4,199.09 is: 5,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.97 : 8,688.89 = 4,199.09 : x
  2. Step 2: Convert to fraction form
    6,294.97/8,688.89 = 4,199.09/x
  3. Step 3: Cross multiply
    6,294.97x = 8,688.89 × 4,199.09
  4. Step 4: Simplify right side
    6,294.97x = 36,485,431.11
  5. Step 5: Solve for x
    x = 36,485,431.11/6,294.97
  6. Step 6: Final answer
    x = 5,795.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.