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Finding the Fourth Proportional to 9,289.16, 13,933.50 and 2,269.22

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Solution

The fourth proportional to 9,289.16, 13,933.50 and 2,269.22 is: 3,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.16 : 13,933.50 = 2,269.22 : x
  2. Step 2: Convert to fraction form
    9,289.16/13,933.50 = 2,269.22/x
  3. Step 3: Cross multiply
    9,289.16x = 13,933.50 × 2,269.22
  4. Step 4: Simplify right side
    9,289.16x = 31,618,107.20
  5. Step 5: Solve for x
    x = 31,618,107.20/9,289.16
  6. Step 6: Final answer
    x = 3,403.77

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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.