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Finding the Fourth Proportional to 9,292.33, 13,939.16 and 3,745.71

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Solution

The fourth proportional to 9,292.33, 13,939.16 and 3,745.71 is: 5,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.33 : 13,939.16 = 3,745.71 : x
  2. Step 2: Convert to fraction form
    9,292.33/13,939.16 = 3,745.71/x
  3. Step 3: Cross multiply
    9,292.33x = 13,939.16 × 3,745.71
  4. Step 4: Simplify right side
    9,292.33x = 52,212,032.28
  5. Step 5: Solve for x
    x = 52,212,032.28/9,292.33
  6. Step 6: Final answer
    x = 5,618.83

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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.