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Finding the Fourth Proportional to 9,183.23, 13,778.93 and 5,234.34

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Solution

The fourth proportional to 9,183.23, 13,778.93 and 5,234.34 is: 7,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.23 : 13,778.93 = 5,234.34 : x
  2. Step 2: Convert to fraction form
    9,183.23/13,778.93 = 5,234.34/x
  3. Step 3: Cross multiply
    9,183.23x = 13,778.93 × 5,234.34
  4. Step 4: Simplify right side
    9,183.23x = 72,123,604.46
  5. Step 5: Solve for x
    x = 72,123,604.46/9,183.23
  6. Step 6: Final answer
    x = 7,853.84

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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.