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Finding the Fourth Proportional to 9,289.38, 13,934.08 and 2,269.38

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Solution

The fourth proportional to 9,289.38, 13,934.08 and 2,269.38 is: 3,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.38 : 13,934.08 = 2,269.38 : x
  2. Step 2: Convert to fraction form
    9,289.38/13,934.08 = 2,269.38/x
  3. Step 3: Cross multiply
    9,289.38x = 13,934.08 × 2,269.38
  4. Step 4: Simplify right side
    9,289.38x = 31,621,722.47
  5. Step 5: Solve for x
    x = 31,621,722.47/9,289.38
  6. Step 6: Final answer
    x = 3,404.07

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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.