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Finding the Fourth Proportional to 6,285.35, 9,431.99 and 3,513.84

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Solution

The fourth proportional to 6,285.35, 9,431.99 and 3,513.84 is: 5,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.35 : 9,431.99 = 3,513.84 : x
  2. Step 2: Convert to fraction form
    6,285.35/9,431.99 = 3,513.84/x
  3. Step 3: Cross multiply
    6,285.35x = 9,431.99 × 3,513.84
  4. Step 4: Simplify right side
    6,285.35x = 33,142,450.80
  5. Step 5: Solve for x
    x = 33,142,450.80/6,285.35
  6. Step 6: Final answer
    x = 5,272.97

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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.