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Finding the Fourth Proportional to 9,144.96, 13,717.44 and 4,213.68

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Solution

The fourth proportional to 9,144.96, 13,717.44 and 4,213.68 is: 6,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.96 : 13,717.44 = 4,213.68 : x
  2. Step 2: Convert to fraction form
    9,144.96/13,717.44 = 4,213.68/x
  3. Step 3: Cross multiply
    9,144.96x = 13,717.44 × 4,213.68
  4. Step 4: Simplify right side
    9,144.96x = 57,800,902.58
  5. Step 5: Solve for x
    x = 57,800,902.58/9,144.96
  6. Step 6: Final answer
    x = 6,320.52

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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.