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Finding the Fourth Proportional to 9,706.08, 13,391.28 and 5,982.24

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Solution

The fourth proportional to 9,706.08, 13,391.28 and 5,982.24 is: 8,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.08 : 13,391.28 = 5,982.24 : x
  2. Step 2: Convert to fraction form
    9,706.08/13,391.28 = 5,982.24/x
  3. Step 3: Cross multiply
    9,706.08x = 13,391.28 × 5,982.24
  4. Step 4: Simplify right side
    9,706.08x = 80,109,850.87
  5. Step 5: Solve for x
    x = 80,109,850.87/9,706.08
  6. Step 6: Final answer
    x = 8,253.57

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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.