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Finding the Fourth Proportional to 7,190.20, 9,923.86 and 4,046.20

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Solution

The fourth proportional to 7,190.20, 9,923.86 and 4,046.20 is: 5,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.20 : 9,923.86 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    7,190.20/9,923.86 = 4,046.20/x
  3. Step 3: Cross multiply
    7,190.20x = 9,923.86 × 4,046.20
  4. Step 4: Simplify right side
    7,190.20x = 40,153,922.33
  5. Step 5: Solve for x
    x = 40,153,922.33/7,190.20
  6. Step 6: Final answer
    x = 5,584.53

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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.