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Finding the Fourth Proportional to 9,369.14, 14,054.52 and 3,822.88

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Solution

The fourth proportional to 9,369.14, 14,054.52 and 3,822.88 is: 5,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.14 : 14,054.52 = 3,822.88 : x
  2. Step 2: Convert to fraction form
    9,369.14/14,054.52 = 3,822.88/x
  3. Step 3: Cross multiply
    9,369.14x = 14,054.52 × 3,822.88
  4. Step 4: Simplify right side
    9,369.14x = 53,728,743.42
  5. Step 5: Solve for x
    x = 53,728,743.42/9,369.14
  6. Step 6: Final answer
    x = 5,734.65

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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.