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Finding the Fourth Proportional to 9,398.22, 14,099.76 and 4,467.78

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Solution

The fourth proportional to 9,398.22, 14,099.76 and 4,467.78 is: 6,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.22 : 14,099.76 = 4,467.78 : x
  2. Step 2: Convert to fraction form
    9,398.22/14,099.76 = 4,467.78/x
  3. Step 3: Cross multiply
    9,398.22x = 14,099.76 × 4,467.78
  4. Step 4: Simplify right side
    9,398.22x = 62,994,625.73
  5. Step 5: Solve for x
    x = 62,994,625.73/9,398.22
  6. Step 6: Final answer
    x = 6,702.83

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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.