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Finding the Fourth Proportional to 9,158.64, 13,736.30 and 2,583.27

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Solution

The fourth proportional to 9,158.64, 13,736.30 and 2,583.27 is: 3,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.64 : 13,736.30 = 2,583.27 : x
  2. Step 2: Convert to fraction form
    9,158.64/13,736.30 = 2,583.27/x
  3. Step 3: Cross multiply
    9,158.64x = 13,736.30 × 2,583.27
  4. Step 4: Simplify right side
    9,158.64x = 35,484,558.78
  5. Step 5: Solve for x
    x = 35,484,558.78/9,158.64
  6. Step 6: Final answer
    x = 3,874.44

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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.