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Finding the Fourth Proportional to 9,732.69, 14,601.33 and 3,158.33

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Solution

The fourth proportional to 9,732.69, 14,601.33 and 3,158.33 is: 4,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.69 : 14,601.33 = 3,158.33 : x
  2. Step 2: Convert to fraction form
    9,732.69/14,601.33 = 3,158.33/x
  3. Step 3: Cross multiply
    9,732.69x = 14,601.33 × 3,158.33
  4. Step 4: Simplify right side
    9,732.69x = 46,115,745.57
  5. Step 5: Solve for x
    x = 46,115,745.57/9,732.69
  6. Step 6: Final answer
    x = 4,738.23

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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.