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Finding the Fourth Proportional to 9,413.76, 14,121.84 and 2,840.16

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Solution

The fourth proportional to 9,413.76, 14,121.84 and 2,840.16 is: 4,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.76 : 14,121.84 = 2,840.16 : x
  2. Step 2: Convert to fraction form
    9,413.76/14,121.84 = 2,840.16/x
  3. Step 3: Cross multiply
    9,413.76x = 14,121.84 × 2,840.16
  4. Step 4: Simplify right side
    9,413.76x = 40,108,285.09
  5. Step 5: Solve for x
    x = 40,108,285.09/9,413.76
  6. Step 6: Final answer
    x = 4,260.60

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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.