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Finding the Fourth Proportional to 9,490.60, 14,234.55 and 5,969.87

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Solution

The fourth proportional to 9,490.60, 14,234.55 and 5,969.87 is: 8,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.60 : 14,234.55 = 5,969.87 : x
  2. Step 2: Convert to fraction form
    9,490.60/14,234.55 = 5,969.87/x
  3. Step 3: Cross multiply
    9,490.60x = 14,234.55 × 5,969.87
  4. Step 4: Simplify right side
    9,490.60x = 84,978,413.01
  5. Step 5: Solve for x
    x = 84,978,413.01/9,490.60
  6. Step 6: Final answer
    x = 8,953.96

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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.