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Finding the Fourth Proportional to 9,552.96, 14,333.40 and 4,213.44

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Solution

The fourth proportional to 9,552.96, 14,333.40 and 4,213.44 is: 6,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.96 : 14,333.40 = 4,213.44 : x
  2. Step 2: Convert to fraction form
    9,552.96/14,333.40 = 4,213.44/x
  3. Step 3: Cross multiply
    9,552.96x = 14,333.40 × 4,213.44
  4. Step 4: Simplify right side
    9,552.96x = 60,392,920.90
  5. Step 5: Solve for x
    x = 60,392,920.90/9,552.96
  6. Step 6: Final answer
    x = 6,321.91

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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.