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Finding the Fourth Proportional to 9,256.88, 13,885.44 and 3,413.50

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Solution

The fourth proportional to 9,256.88, 13,885.44 and 3,413.50 is: 5,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.88 : 13,885.44 = 3,413.50 : x
  2. Step 2: Convert to fraction form
    9,256.88/13,885.44 = 3,413.50/x
  3. Step 3: Cross multiply
    9,256.88x = 13,885.44 × 3,413.50
  4. Step 4: Simplify right side
    9,256.88x = 47,397,949.44
  5. Step 5: Solve for x
    x = 47,397,949.44/9,256.88
  6. Step 6: Final answer
    x = 5,120.29

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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.