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Finding the Fourth Proportional to 9,252.80, 13,886.50 and 3,413.51

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Solution

The fourth proportional to 9,252.80, 13,886.50 and 3,413.51 is: 5,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.80 : 13,886.50 = 3,413.51 : x
  2. Step 2: Convert to fraction form
    9,252.80/13,886.50 = 3,413.51/x
  3. Step 3: Cross multiply
    9,252.80x = 13,886.50 × 3,413.51
  4. Step 4: Simplify right side
    9,252.80x = 47,401,706.62
  5. Step 5: Solve for x
    x = 47,401,706.62/9,252.80
  6. Step 6: Final answer
    x = 5,122.96

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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.