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Finding the Fourth Proportional to 6,257.23, 9,375.44 and 4,404.47

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Solution

The fourth proportional to 6,257.23, 9,375.44 and 4,404.47 is: 6,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.23 : 9,375.44 = 4,404.47 : x
  2. Step 2: Convert to fraction form
    6,257.23/9,375.44 = 4,404.47/x
  3. Step 3: Cross multiply
    6,257.23x = 9,375.44 × 4,404.47
  4. Step 4: Simplify right side
    6,257.23x = 41,293,775.32
  5. Step 5: Solve for x
    x = 41,293,775.32/6,257.23
  6. Step 6: Final answer
    x = 6,599.37

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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.