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Finding the Fourth Proportional to 6,413.53, 9,619.07 and 2,252.56

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Solution

The fourth proportional to 6,413.53, 9,619.07 and 2,252.56 is: 3,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.53 : 9,619.07 = 2,252.56 : x
  2. Step 2: Convert to fraction form
    6,413.53/9,619.07 = 2,252.56/x
  3. Step 3: Cross multiply
    6,413.53x = 9,619.07 × 2,252.56
  4. Step 4: Simplify right side
    6,413.53x = 21,667,484.22
  5. Step 5: Solve for x
    x = 21,667,484.22/6,413.53
  6. Step 6: Final answer
    x = 3,378.40

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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.