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Finding the Fourth Proportional to 6,568.26, 9,064.18 and 4,213.58

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Solution

The fourth proportional to 6,568.26, 9,064.18 and 4,213.58 is: 5,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.26 : 9,064.18 = 4,213.58 : x
  2. Step 2: Convert to fraction form
    6,568.26/9,064.18 = 4,213.58/x
  3. Step 3: Cross multiply
    6,568.26x = 9,064.18 × 4,213.58
  4. Step 4: Simplify right side
    6,568.26x = 38,192,647.56
  5. Step 5: Solve for x
    x = 38,192,647.56/6,568.26
  6. Step 6: Final answer
    x = 5,814.73

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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.