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Finding the Fourth Proportional to 6,285.14, 9,413.34 and 3,000.54

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Solution

The fourth proportional to 6,285.14, 9,413.34 and 3,000.54 is: 4,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.14 : 9,413.34 = 3,000.54 : x
  2. Step 2: Convert to fraction form
    6,285.14/9,413.34 = 3,000.54/x
  3. Step 3: Cross multiply
    6,285.14x = 9,413.34 × 3,000.54
  4. Step 4: Simplify right side
    6,285.14x = 28,245,103.20
  5. Step 5: Solve for x
    x = 28,245,103.20/6,285.14
  6. Step 6: Final answer
    x = 4,493.95

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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.