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Finding the Fourth Proportional to 6,942.64, 10,413.96 and 2,326

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Solution

The fourth proportional to 6,942.64, 10,413.96 and 2,326 is: 3,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.64 : 10,413.96 = 2,326 : x
  2. Step 2: Convert to fraction form
    6,942.64/10,413.96 = 2,326/x
  3. Step 3: Cross multiply
    6,942.64x = 10,413.96 × 2,326
  4. Step 4: Simplify right side
    6,942.64x = 24,222,870.96
  5. Step 5: Solve for x
    x = 24,222,870.96/6,942.64
  6. Step 6: Final answer
    x = 3,489.00

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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.