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Finding the Fourth Proportional to 9,553.20, 13,183.20 and 5,361

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Solution

The fourth proportional to 9,553.20, 13,183.20 and 5,361 is: 7,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.20 : 13,183.20 = 5,361 : x
  2. Step 2: Convert to fraction form
    9,553.20/13,183.20 = 5,361/x
  3. Step 3: Cross multiply
    9,553.20x = 13,183.20 × 5,361
  4. Step 4: Simplify right side
    9,553.20x = 70,675,135.20
  5. Step 5: Solve for x
    x = 70,675,135.20/9,553.20
  6. Step 6: Final answer
    x = 7,398.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.