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Finding the Fourth Proportional to 9,209.96, 12,704.21 and 5,623.28

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Solution

The fourth proportional to 9,209.96, 12,704.21 and 5,623.28 is: 7,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.96 : 12,704.21 = 5,623.28 : x
  2. Step 2: Convert to fraction form
    9,209.96/12,704.21 = 5,623.28/x
  3. Step 3: Cross multiply
    9,209.96x = 12,704.21 × 5,623.28
  4. Step 4: Simplify right side
    9,209.96x = 71,439,324.80
  5. Step 5: Solve for x
    x = 71,439,324.80/9,209.96
  6. Step 6: Final answer
    x = 7,756.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.