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Finding the Fourth Proportional to 9,286.96, 13,934.09 and 4,089.19

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Solution

The fourth proportional to 9,286.96, 13,934.09 and 4,089.19 is: 6,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.96 : 13,934.09 = 4,089.19 : x
  2. Step 2: Convert to fraction form
    9,286.96/13,934.09 = 4,089.19/x
  3. Step 3: Cross multiply
    9,286.96x = 13,934.09 × 4,089.19
  4. Step 4: Simplify right side
    9,286.96x = 56,979,086.21
  5. Step 5: Solve for x
    x = 56,979,086.21/9,286.96
  6. Step 6: Final answer
    x = 6,135.39

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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.