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Finding the Fourth Proportional to 7,224.75, 9,970.16 and 3,912.75

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Solution

The fourth proportional to 7,224.75, 9,970.16 and 3,912.75 is: 5,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.75 : 9,970.16 = 3,912.75 : x
  2. Step 2: Convert to fraction form
    7,224.75/9,970.16 = 3,912.75/x
  3. Step 3: Cross multiply
    7,224.75x = 9,970.16 × 3,912.75
  4. Step 4: Simplify right side
    7,224.75x = 39,010,723.98
  5. Step 5: Solve for x
    x = 39,010,723.98/7,224.75
  6. Step 6: Final answer
    x = 5,399.60

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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.