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Finding the Fourth Proportional to 9,796.42, 14,696.46 and 3,227.23

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Solution

The fourth proportional to 9,796.42, 14,696.46 and 3,227.23 is: 4,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.42 : 14,696.46 = 3,227.23 : x
  2. Step 2: Convert to fraction form
    9,796.42/14,696.46 = 3,227.23/x
  3. Step 3: Cross multiply
    9,796.42x = 14,696.46 × 3,227.23
  4. Step 4: Simplify right side
    9,796.42x = 47,428,856.61
  5. Step 5: Solve for x
    x = 47,428,856.61/9,796.42
  6. Step 6: Final answer
    x = 4,841.45

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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.