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Finding the Fourth Proportional to 9,241.93, 13,862.89 and 3,696.57

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Solution

The fourth proportional to 9,241.93, 13,862.89 and 3,696.57 is: 5,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.93 : 13,862.89 = 3,696.57 : x
  2. Step 2: Convert to fraction form
    9,241.93/13,862.89 = 3,696.57/x
  3. Step 3: Cross multiply
    9,241.93x = 13,862.89 × 3,696.57
  4. Step 4: Simplify right side
    9,241.93x = 51,245,147.91
  5. Step 5: Solve for x
    x = 51,245,147.91/9,241.93
  6. Step 6: Final answer
    x = 5,544.85

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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.