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Finding the Fourth Proportional to 9,400.73, 14,096.94 and 2,825.65

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Solution

The fourth proportional to 9,400.73, 14,096.94 and 2,825.65 is: 4,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.73 : 14,096.94 = 2,825.65 : x
  2. Step 2: Convert to fraction form
    9,400.73/14,096.94 = 2,825.65/x
  3. Step 3: Cross multiply
    9,400.73x = 14,096.94 × 2,825.65
  4. Step 4: Simplify right side
    9,400.73x = 39,833,025.54
  5. Step 5: Solve for x
    x = 39,833,025.54/9,400.73
  6. Step 6: Final answer
    x = 4,237.23

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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.