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Finding the Fourth Proportional to 9,706.26, 14,561.46 and 5,548.26

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Solution

The fourth proportional to 9,706.26, 14,561.46 and 5,548.26 is: 8,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.26 : 14,561.46 = 5,548.26 : x
  2. Step 2: Convert to fraction form
    9,706.26/14,561.46 = 5,548.26/x
  3. Step 3: Cross multiply
    9,706.26x = 14,561.46 × 5,548.26
  4. Step 4: Simplify right side
    9,706.26x = 80,790,766.06
  5. Step 5: Solve for x
    x = 80,790,766.06/9,706.26
  6. Step 6: Final answer
    x = 8,323.57

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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.