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Finding the Fourth Proportional to 9,286.42, 13,926.14 and 3,737.88

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Solution

The fourth proportional to 9,286.42, 13,926.14 and 3,737.88 is: 5,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.42 : 13,926.14 = 3,737.88 : x
  2. Step 2: Convert to fraction form
    9,286.42/13,926.14 = 3,737.88/x
  3. Step 3: Cross multiply
    9,286.42x = 13,926.14 × 3,737.88
  4. Step 4: Simplify right side
    9,286.42x = 52,054,240.18
  5. Step 5: Solve for x
    x = 52,054,240.18/9,286.42
  6. Step 6: Final answer
    x = 5,605.42

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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.