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Finding the Fourth Proportional to 7,066.86, 9,752.25 and 3,923.07

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Solution

The fourth proportional to 7,066.86, 9,752.25 and 3,923.07 is: 5,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.86 : 9,752.25 = 3,923.07 : x
  2. Step 2: Convert to fraction form
    7,066.86/9,752.25 = 3,923.07/x
  3. Step 3: Cross multiply
    7,066.86x = 9,752.25 × 3,923.07
  4. Step 4: Simplify right side
    7,066.86x = 38,258,759.41
  5. Step 5: Solve for x
    x = 38,258,759.41/7,066.86
  6. Step 6: Final answer
    x = 5,413.83

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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.