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Finding the Fourth Proportional to 6,111.98, 9,169.80 and 3,513.09

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Solution

The fourth proportional to 6,111.98, 9,169.80 and 3,513.09 is: 5,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.98 : 9,169.80 = 3,513.09 : x
  2. Step 2: Convert to fraction form
    6,111.98/9,169.80 = 3,513.09/x
  3. Step 3: Cross multiply
    6,111.98x = 9,169.80 × 3,513.09
  4. Step 4: Simplify right side
    6,111.98x = 32,214,353.89
  5. Step 5: Solve for x
    x = 32,214,353.89/6,111.98
  6. Step 6: Final answer
    x = 5,270.69

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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.