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Finding the Fourth Proportional to 6,064.62, 9,098.26 and 5,452.26

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Solution

The fourth proportional to 6,064.62, 9,098.26 and 5,452.26 is: 8,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.62 : 9,098.26 = 5,452.26 : x
  2. Step 2: Convert to fraction form
    6,064.62/9,098.26 = 5,452.26/x
  3. Step 3: Cross multiply
    6,064.62x = 9,098.26 × 5,452.26
  4. Step 4: Simplify right side
    6,064.62x = 49,606,079.07
  5. Step 5: Solve for x
    x = 49,606,079.07/6,064.62
  6. Step 6: Final answer
    x = 8,179.59

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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.