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Finding the Fourth Proportional to 6,274.22, 9,413.06 and 2,579.08

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Solution

The fourth proportional to 6,274.22, 9,413.06 and 2,579.08 is: 3,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.22 : 9,413.06 = 2,579.08 : x
  2. Step 2: Convert to fraction form
    6,274.22/9,413.06 = 2,579.08/x
  3. Step 3: Cross multiply
    6,274.22x = 9,413.06 × 2,579.08
  4. Step 4: Simplify right side
    6,274.22x = 24,277,034.78
  5. Step 5: Solve for x
    x = 24,277,034.78/6,274.22
  6. Step 6: Final answer
    x = 3,869.33

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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.