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Finding the Fourth Proportional to 9,157.77, 13,736.97 and 2,583.63

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Solution

The fourth proportional to 9,157.77, 13,736.97 and 2,583.63 is: 3,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.77 : 13,736.97 = 2,583.63 : x
  2. Step 2: Convert to fraction form
    9,157.77/13,736.97 = 2,583.63/x
  3. Step 3: Cross multiply
    9,157.77x = 13,736.97 × 2,583.63
  4. Step 4: Simplify right side
    9,157.77x = 35,491,247.80
  5. Step 5: Solve for x
    x = 35,491,247.80/9,157.77
  6. Step 6: Final answer
    x = 3,875.53

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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.