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Finding the Fourth Proportional to 9,515.93, 14,274.29 and 2,942.24

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Solution

The fourth proportional to 9,515.93, 14,274.29 and 2,942.24 is: 4,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.93 : 14,274.29 = 2,942.24 : x
  2. Step 2: Convert to fraction form
    9,515.93/14,274.29 = 2,942.24/x
  3. Step 3: Cross multiply
    9,515.93x = 14,274.29 × 2,942.24
  4. Step 4: Simplify right side
    9,515.93x = 41,998,322.99
  5. Step 5: Solve for x
    x = 41,998,322.99/9,515.93
  6. Step 6: Final answer
    x = 4,413.48

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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.