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Finding the Fourth Proportional to 9,704.26, 14,546.28 and 6,584.54

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Solution

The fourth proportional to 9,704.26, 14,546.28 and 6,584.54 is: 9,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.26 : 14,546.28 = 6,584.54 : x
  2. Step 2: Convert to fraction form
    9,704.26/14,546.28 = 6,584.54/x
  3. Step 3: Cross multiply
    9,704.26x = 14,546.28 × 6,584.54
  4. Step 4: Simplify right side
    9,704.26x = 95,780,596.29
  5. Step 5: Solve for x
    x = 95,780,596.29/9,704.26
  6. Step 6: Final answer
    x = 9,869.96

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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.