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Finding the Fourth Proportional to 6,097.41, 9,145.66 and 2,201.82

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Solution

The fourth proportional to 6,097.41, 9,145.66 and 2,201.82 is: 3,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.41 : 9,145.66 = 2,201.82 : x
  2. Step 2: Convert to fraction form
    6,097.41/9,145.66 = 2,201.82/x
  3. Step 3: Cross multiply
    6,097.41x = 9,145.66 × 2,201.82
  4. Step 4: Simplify right side
    6,097.41x = 20,137,045.87
  5. Step 5: Solve for x
    x = 20,137,045.87/6,097.41
  6. Step 6: Final answer
    x = 3,302.56

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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.