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Finding the Fourth Proportional to 9,694.67, 14,546.97 and 4,146.53

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Solution

The fourth proportional to 9,694.67, 14,546.97 and 4,146.53 is: 6,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.67 : 14,546.97 = 4,146.53 : x
  2. Step 2: Convert to fraction form
    9,694.67/14,546.97 = 4,146.53/x
  3. Step 3: Cross multiply
    9,694.67x = 14,546.97 × 4,146.53
  4. Step 4: Simplify right side
    9,694.67x = 60,319,424.49
  5. Step 5: Solve for x
    x = 60,319,424.49/9,694.67
  6. Step 6: Final answer
    x = 6,221.91

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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.