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Finding the Fourth Proportional to 9,706.46, 13,391.69 and 5,928.26

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Solution

The fourth proportional to 9,706.46, 13,391.69 and 5,928.26 is: 8,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.46 : 13,391.69 = 5,928.26 : x
  2. Step 2: Convert to fraction form
    9,706.46/13,391.69 = 5,928.26/x
  3. Step 3: Cross multiply
    9,706.46x = 13,391.69 × 5,928.26
  4. Step 4: Simplify right side
    9,706.46x = 79,389,323.56
  5. Step 5: Solve for x
    x = 79,389,323.56/9,706.46
  6. Step 6: Final answer
    x = 8,179.02

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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.