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Finding the Fourth Proportional to 9,157.44, 13,736.67 and 2,583.12

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Solution

The fourth proportional to 9,157.44, 13,736.67 and 2,583.12 is: 3,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.44 : 13,736.67 = 2,583.12 : x
  2. Step 2: Convert to fraction form
    9,157.44/13,736.67 = 2,583.12/x
  3. Step 3: Cross multiply
    9,157.44x = 13,736.67 × 2,583.12
  4. Step 4: Simplify right side
    9,157.44x = 35,483,467.01
  5. Step 5: Solve for x
    x = 35,483,467.01/9,157.44
  6. Step 6: Final answer
    x = 3,874.82

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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.