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Finding the Fourth Proportional to 9,431.88, 13,015.97 and 5,183.22

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Solution

The fourth proportional to 9,431.88, 13,015.97 and 5,183.22 is: 7,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.88 : 13,015.97 = 5,183.22 : x
  2. Step 2: Convert to fraction form
    9,431.88/13,015.97 = 5,183.22/x
  3. Step 3: Cross multiply
    9,431.88x = 13,015.97 × 5,183.22
  4. Step 4: Simplify right side
    9,431.88x = 67,464,636.02
  5. Step 5: Solve for x
    x = 67,464,636.02/9,431.88
  6. Step 6: Final answer
    x = 7,152.83

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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.