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Finding the Fourth Proportional to 9,258.50, 13,881.27 and 3,413.54

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Solution

The fourth proportional to 9,258.50, 13,881.27 and 3,413.54 is: 5,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.50 : 13,881.27 = 3,413.54 : x
  2. Step 2: Convert to fraction form
    9,258.50/13,881.27 = 3,413.54/x
  3. Step 3: Cross multiply
    9,258.50x = 13,881.27 × 3,413.54
  4. Step 4: Simplify right side
    9,258.50x = 47,384,317.90
  5. Step 5: Solve for x
    x = 47,384,317.90/9,258.50
  6. Step 6: Final answer
    x = 5,117.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.