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Finding the Fourth Proportional to 7,213.23, 9,951.60 and 4,227.99

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Solution

The fourth proportional to 7,213.23, 9,951.60 and 4,227.99 is: 5,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.23 : 9,951.60 = 4,227.99 : x
  2. Step 2: Convert to fraction form
    7,213.23/9,951.60 = 4,227.99/x
  3. Step 3: Cross multiply
    7,213.23x = 9,951.60 × 4,227.99
  4. Step 4: Simplify right side
    7,213.23x = 42,075,265.28
  5. Step 5: Solve for x
    x = 42,075,265.28/7,213.23
  6. Step 6: Final answer
    x = 5,833.07

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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.