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Finding the Fourth Proportional to 6,782.27, 9,370.23 and 6,413.18

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Solution

The fourth proportional to 6,782.27, 9,370.23 and 6,413.18 is: 8,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.27 : 9,370.23 = 6,413.18 : x
  2. Step 2: Convert to fraction form
    6,782.27/9,370.23 = 6,413.18/x
  3. Step 3: Cross multiply
    6,782.27x = 9,370.23 × 6,413.18
  4. Step 4: Simplify right side
    6,782.27x = 60,092,971.63
  5. Step 5: Solve for x
    x = 60,092,971.63/6,782.27
  6. Step 6: Final answer
    x = 8,860.30

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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.