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Finding the Fourth Proportional to 9,226.91, 12,733.13 and 5,692.17

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Solution

The fourth proportional to 9,226.91, 12,733.13 and 5,692.17 is: 7,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.91 : 12,733.13 = 5,692.17 : x
  2. Step 2: Convert to fraction form
    9,226.91/12,733.13 = 5,692.17/x
  3. Step 3: Cross multiply
    9,226.91x = 12,733.13 × 5,692.17
  4. Step 4: Simplify right side
    9,226.91x = 72,479,140.59
  5. Step 5: Solve for x
    x = 72,479,140.59/9,226.91
  6. Step 6: Final answer
    x = 7,855.20

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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.