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Finding the Fourth Proportional to 8,490.02, 12,735.89 and 2,942.09

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Solution

The fourth proportional to 8,490.02, 12,735.89 and 2,942.09 is: 4,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.02 : 12,735.89 = 2,942.09 : x
  2. Step 2: Convert to fraction form
    8,490.02/12,735.89 = 2,942.09/x
  3. Step 3: Cross multiply
    8,490.02x = 12,735.89 × 2,942.09
  4. Step 4: Simplify right side
    8,490.02x = 37,470,056.22
  5. Step 5: Solve for x
    x = 37,470,056.22/8,490.02
  6. Step 6: Final answer
    x = 4,413.43

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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.