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Finding the Fourth Proportional to 6,976.52, 9,623.58 and 4,180.40

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Solution

The fourth proportional to 6,976.52, 9,623.58 and 4,180.40 is: 5,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.52 : 9,623.58 = 4,180.40 : x
  2. Step 2: Convert to fraction form
    6,976.52/9,623.58 = 4,180.40/x
  3. Step 3: Cross multiply
    6,976.52x = 9,623.58 × 4,180.40
  4. Step 4: Simplify right side
    6,976.52x = 40,230,413.83
  5. Step 5: Solve for x
    x = 40,230,413.83/6,976.52
  6. Step 6: Final answer
    x = 5,766.54

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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.