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Finding the Fourth Proportional to 6,097.16, 9,142.68 and 2,396.54

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Solution

The fourth proportional to 6,097.16, 9,142.68 and 2,396.54 is: 3,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.16 : 9,142.68 = 2,396.54 : x
  2. Step 2: Convert to fraction form
    6,097.16/9,142.68 = 2,396.54/x
  3. Step 3: Cross multiply
    6,097.16x = 9,142.68 × 2,396.54
  4. Step 4: Simplify right side
    6,097.16x = 21,910,798.33
  5. Step 5: Solve for x
    x = 21,910,798.33/6,097.16
  6. Step 6: Final answer
    x = 3,593.61

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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.