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Finding the Fourth Proportional to 6,023.68, 9,034.39 and 1,640.12

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Solution

The fourth proportional to 6,023.68, 9,034.39 and 1,640.12 is: 2,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.68 : 9,034.39 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    6,023.68/9,034.39 = 1,640.12/x
  3. Step 3: Cross multiply
    6,023.68x = 9,034.39 × 1,640.12
  4. Step 4: Simplify right side
    6,023.68x = 14,817,431.38
  5. Step 5: Solve for x
    x = 14,817,431.38/6,023.68
  6. Step 6: Final answer
    x = 2,459.86

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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.