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Finding the Fourth Proportional to 6,091.98, 9,137.98 and 2,196.38

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Solution

The fourth proportional to 6,091.98, 9,137.98 and 2,196.38 is: 3,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.98 : 9,137.98 = 2,196.38 : x
  2. Step 2: Convert to fraction form
    6,091.98/9,137.98 = 2,196.38/x
  3. Step 3: Cross multiply
    6,091.98x = 9,137.98 × 2,196.38
  4. Step 4: Simplify right side
    6,091.98x = 20,070,476.51
  5. Step 5: Solve for x
    x = 20,070,476.51/6,091.98
  6. Step 6: Final answer
    x = 3,294.57

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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.