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Finding the Fourth Proportional to 9,258.24, 13,888.24 and 3,413.44

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Solution

The fourth proportional to 9,258.24, 13,888.24 and 3,413.44 is: 5,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.24 : 13,888.24 = 3,413.44 : x
  2. Step 2: Convert to fraction form
    9,258.24/13,888.24 = 3,413.44/x
  3. Step 3: Cross multiply
    9,258.24x = 13,888.24 × 3,413.44
  4. Step 4: Simplify right side
    9,258.24x = 47,406,673.95
  5. Step 5: Solve for x
    x = 47,406,673.95/9,258.24
  6. Step 6: Final answer
    x = 5,120.48

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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.