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Finding the Fourth Proportional to 6,091.89, 9,137.68 and 1,709.22

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Solution

The fourth proportional to 6,091.89, 9,137.68 and 1,709.22 is: 2,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.89 : 9,137.68 = 1,709.22 : x
  2. Step 2: Convert to fraction form
    6,091.89/9,137.68 = 1,709.22/x
  3. Step 3: Cross multiply
    6,091.89x = 9,137.68 × 1,709.22
  4. Step 4: Simplify right side
    6,091.89x = 15,618,305.41
  5. Step 5: Solve for x
    x = 15,618,305.41/6,091.89
  6. Step 6: Final answer
    x = 2,563.79

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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.