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Finding the Fourth Proportional to 6,097.20, 8,414.12 and 3,302.68

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Solution

The fourth proportional to 6,097.20, 8,414.12 and 3,302.68 is: 4,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.20 : 8,414.12 = 3,302.68 : x
  2. Step 2: Convert to fraction form
    6,097.20/8,414.12 = 3,302.68/x
  3. Step 3: Cross multiply
    6,097.20x = 8,414.12 × 3,302.68
  4. Step 4: Simplify right side
    6,097.20x = 27,789,145.84
  5. Step 5: Solve for x
    x = 27,789,145.84/6,097.20
  6. Step 6: Final answer
    x = 4,557.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.