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Finding the Fourth Proportional to 9,513.80, 13,129.16 and 5,930.21

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Solution

The fourth proportional to 9,513.80, 13,129.16 and 5,930.21 is: 8,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.80 : 13,129.16 = 5,930.21 : x
  2. Step 2: Convert to fraction form
    9,513.80/13,129.16 = 5,930.21/x
  3. Step 3: Cross multiply
    9,513.80x = 13,129.16 × 5,930.21
  4. Step 4: Simplify right side
    9,513.80x = 77,858,625.10
  5. Step 5: Solve for x
    x = 77,858,625.10/9,513.80
  6. Step 6: Final answer
    x = 8,183.76

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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.