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Finding the Fourth Proportional to 6,199.31, 9,294.93 and 2,249.84

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Solution

The fourth proportional to 6,199.31, 9,294.93 and 2,249.84 is: 3,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.31 : 9,294.93 = 2,249.84 : x
  2. Step 2: Convert to fraction form
    6,199.31/9,294.93 = 2,249.84/x
  3. Step 3: Cross multiply
    6,199.31x = 9,294.93 × 2,249.84
  4. Step 4: Simplify right side
    6,199.31x = 20,912,058.84
  5. Step 5: Solve for x
    x = 20,912,058.84/6,199.31
  6. Step 6: Final answer
    x = 3,373.29

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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.