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Finding the Fourth Proportional to 9,228.67, 13,814.28 and 8,933.42

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Solution

The fourth proportional to 9,228.67, 13,814.28 and 8,933.42 is: 13,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.67 : 13,814.28 = 8,933.42 : x
  2. Step 2: Convert to fraction form
    9,228.67/13,814.28 = 8,933.42/x
  3. Step 3: Cross multiply
    9,228.67x = 13,814.28 × 8,933.42
  4. Step 4: Simplify right side
    9,228.67x = 123,408,799.77
  5. Step 5: Solve for x
    x = 123,408,799.77/9,228.67
  6. Step 6: Final answer
    x = 13,372.33

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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.