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Finding the Fourth Proportional to 9,183.15, 13,774.26 and 5,031.26

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Solution

The fourth proportional to 9,183.15, 13,774.26 and 5,031.26 is: 7,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.15 : 13,774.26 = 5,031.26 : x
  2. Step 2: Convert to fraction form
    9,183.15/13,774.26 = 5,031.26/x
  3. Step 3: Cross multiply
    9,183.15x = 13,774.26 × 5,031.26
  4. Step 4: Simplify right side
    9,183.15x = 69,301,883.37
  5. Step 5: Solve for x
    x = 69,301,883.37/9,183.15
  6. Step 6: Final answer
    x = 7,546.64

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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.