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Finding the Fourth Proportional to 9,413.50, 14,126.73 and 3,257.50

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Solution

The fourth proportional to 9,413.50, 14,126.73 and 3,257.50 is: 4,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.50 : 14,126.73 = 3,257.50 : x
  2. Step 2: Convert to fraction form
    9,413.50/14,126.73 = 3,257.50/x
  3. Step 3: Cross multiply
    9,413.50x = 14,126.73 × 3,257.50
  4. Step 4: Simplify right side
    9,413.50x = 46,017,822.98
  5. Step 5: Solve for x
    x = 46,017,822.98/9,413.50
  6. Step 6: Final answer
    x = 4,888.49

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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.