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Finding the Fourth Proportional to 9,344.52, 14,021.52 and 5,183.76

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Solution

The fourth proportional to 9,344.52, 14,021.52 and 5,183.76 is: 7,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.52 : 14,021.52 = 5,183.76 : x
  2. Step 2: Convert to fraction form
    9,344.52/14,021.52 = 5,183.76/x
  3. Step 3: Cross multiply
    9,344.52x = 14,021.52 × 5,183.76
  4. Step 4: Simplify right side
    9,344.52x = 72,684,194.52
  5. Step 5: Solve for x
    x = 72,684,194.52/9,344.52
  6. Step 6: Final answer
    x = 7,778.27

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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.