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Finding the Fourth Proportional to 9,723.06, 13,413.06 and 5,743.26

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Solution

The fourth proportional to 9,723.06, 13,413.06 and 5,743.26 is: 7,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.06 : 13,413.06 = 5,743.26 : x
  2. Step 2: Convert to fraction form
    9,723.06/13,413.06 = 5,743.26/x
  3. Step 3: Cross multiply
    9,723.06x = 13,413.06 × 5,743.26
  4. Step 4: Simplify right side
    9,723.06x = 77,034,690.98
  5. Step 5: Solve for x
    x = 77,034,690.98/9,723.06
  6. Step 6: Final answer
    x = 7,922.89

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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.