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Finding the Fourth Proportional to 7,235, 9,984.34 and 3,923

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Solution

The fourth proportional to 7,235, 9,984.34 and 3,923 is: 5,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235 : 9,984.34 = 3,923 : x
  2. Step 2: Convert to fraction form
    7,235/9,984.34 = 3,923/x
  3. Step 3: Cross multiply
    7,235x = 9,984.34 × 3,923
  4. Step 4: Simplify right side
    7,235x = 39,168,565.82
  5. Step 5: Solve for x
    x = 39,168,565.82/7,235
  6. Step 6: Final answer
    x = 5,413.76

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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.