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Finding the Fourth Proportional to 9,208.26, 13,811.89 and 2,968.13

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Solution

The fourth proportional to 9,208.26, 13,811.89 and 2,968.13 is: 4,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.26 : 13,811.89 = 2,968.13 : x
  2. Step 2: Convert to fraction form
    9,208.26/13,811.89 = 2,968.13/x
  3. Step 3: Cross multiply
    9,208.26x = 13,811.89 × 2,968.13
  4. Step 4: Simplify right side
    9,208.26x = 40,995,506.67
  5. Step 5: Solve for x
    x = 40,995,506.67/9,208.26
  6. Step 6: Final answer
    x = 4,452.04

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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.