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Finding the Fourth Proportional to 12,277.94, 18,413.69 and 3,958.94

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Solution

The fourth proportional to 12,277.94, 18,413.69 and 3,958.94 is: 5,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.94 : 18,413.69 = 3,958.94 : x
  2. Step 2: Convert to fraction form
    12,277.94/18,413.69 = 3,958.94/x
  3. Step 3: Cross multiply
    12,277.94x = 18,413.69 × 3,958.94
  4. Step 4: Simplify right side
    12,277.94x = 72,898,720.13
  5. Step 5: Solve for x
    x = 72,898,720.13/12,277.94
  6. Step 6: Final answer
    x = 5,937.38

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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.