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Finding the Fourth Proportional to 7,193.08, 9,912.99 and 5,200.21

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Solution

The fourth proportional to 7,193.08, 9,912.99 and 5,200.21 is: 7,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.08 : 9,912.99 = 5,200.21 : x
  2. Step 2: Convert to fraction form
    7,193.08/9,912.99 = 5,200.21/x
  3. Step 3: Cross multiply
    7,193.08x = 9,912.99 × 5,200.21
  4. Step 4: Simplify right side
    7,193.08x = 51,549,629.73
  5. Step 5: Solve for x
    x = 51,549,629.73/7,193.08
  6. Step 6: Final answer
    x = 7,166.56

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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.