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Finding the Fourth Proportional to 9,229.16, 12,736.86 and 5,692.52

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Solution

The fourth proportional to 9,229.16, 12,736.86 and 5,692.52 is: 7,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.16 : 12,736.86 = 5,692.52 : x
  2. Step 2: Convert to fraction form
    9,229.16/12,736.86 = 5,692.52/x
  3. Step 3: Cross multiply
    9,229.16x = 12,736.86 × 5,692.52
  4. Step 4: Simplify right side
    9,229.16x = 72,504,830.29
  5. Step 5: Solve for x
    x = 72,504,830.29/9,229.16
  6. Step 6: Final answer
    x = 7,856.06

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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.