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Finding the Fourth Proportional to 9,183.34, 13,770.44 and 3,917.53

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Solution

The fourth proportional to 9,183.34, 13,770.44 and 3,917.53 is: 5,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.34 : 13,770.44 = 3,917.53 : x
  2. Step 2: Convert to fraction form
    9,183.34/13,770.44 = 3,917.53/x
  3. Step 3: Cross multiply
    9,183.34x = 13,770.44 × 3,917.53
  4. Step 4: Simplify right side
    9,183.34x = 53,946,124.13
  5. Step 5: Solve for x
    x = 53,946,124.13/9,183.34
  6. Step 6: Final answer
    x = 5,874.35

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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.