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Finding the Fourth Proportional to 9,228.74, 12,735.24 and 5,692.28

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Solution

The fourth proportional to 9,228.74, 12,735.24 and 5,692.28 is: 7,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.74 : 12,735.24 = 5,692.28 : x
  2. Step 2: Convert to fraction form
    9,228.74/12,735.24 = 5,692.28/x
  3. Step 3: Cross multiply
    9,228.74x = 12,735.24 × 5,692.28
  4. Step 4: Simplify right side
    9,228.74x = 72,492,551.95
  5. Step 5: Solve for x
    x = 72,492,551.95/9,228.74
  6. Step 6: Final answer
    x = 7,855.09

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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.