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Finding the Fourth Proportional to 9,133.63, 13,692.22 and 3,286.13

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Solution

The fourth proportional to 9,133.63, 13,692.22 and 3,286.13 is: 4,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.63 : 13,692.22 = 3,286.13 : x
  2. Step 2: Convert to fraction form
    9,133.63/13,692.22 = 3,286.13/x
  3. Step 3: Cross multiply
    9,133.63x = 13,692.22 × 3,286.13
  4. Step 4: Simplify right side
    9,133.63x = 44,994,338.23
  5. Step 5: Solve for x
    x = 44,994,338.23/9,133.63
  6. Step 6: Final answer
    x = 4,926.23

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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.