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Finding the Fourth Proportional to 9,258.09, 13,883.40 and 3,413.40

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Solution

The fourth proportional to 9,258.09, 13,883.40 and 3,413.40 is: 5,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.09 : 13,883.40 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    9,258.09/13,883.40 = 3,413.40/x
  3. Step 3: Cross multiply
    9,258.09x = 13,883.40 × 3,413.40
  4. Step 4: Simplify right side
    9,258.09x = 47,389,597.56
  5. Step 5: Solve for x
    x = 47,389,597.56/9,258.09
  6. Step 6: Final answer
    x = 5,118.72

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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.