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Finding the Fourth Proportional to 9,257.69, 13,886.03 and 3,413.81

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Solution

The fourth proportional to 9,257.69, 13,886.03 and 3,413.81 is: 5,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.69 : 13,886.03 = 3,413.81 : x
  2. Step 2: Convert to fraction form
    9,257.69/13,886.03 = 3,413.81/x
  3. Step 3: Cross multiply
    9,257.69x = 13,886.03 × 3,413.81
  4. Step 4: Simplify right side
    9,257.69x = 47,404,311.32
  5. Step 5: Solve for x
    x = 47,404,311.32/9,257.69
  6. Step 6: Final answer
    x = 5,120.53

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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.