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Finding the Fourth Proportional to 6,340.26, 9,500.52 and 5,678.54

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Solution

The fourth proportional to 6,340.26, 9,500.52 and 5,678.54 is: 8,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.26 : 9,500.52 = 5,678.54 : x
  2. Step 2: Convert to fraction form
    6,340.26/9,500.52 = 5,678.54/x
  3. Step 3: Cross multiply
    6,340.26x = 9,500.52 × 5,678.54
  4. Step 4: Simplify right side
    6,340.26x = 53,949,082.84
  5. Step 5: Solve for x
    x = 53,949,082.84/6,340.26
  6. Step 6: Final answer
    x = 8,508.97

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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.