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Finding the Fourth Proportional to 9,616.26, 14,426.15 and 4,422

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Solution

The fourth proportional to 9,616.26, 14,426.15 and 4,422 is: 6,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.26 : 14,426.15 = 4,422 : x
  2. Step 2: Convert to fraction form
    9,616.26/14,426.15 = 4,422/x
  3. Step 3: Cross multiply
    9,616.26x = 14,426.15 × 4,422
  4. Step 4: Simplify right side
    9,616.26x = 63,792,413.19
  5. Step 5: Solve for x
    x = 63,792,413.19/9,616.26
  6. Step 6: Final answer
    x = 6,633.81

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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.