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Finding the Fourth Proportional to 9,606, 14,413.32 and 5,502

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Solution

The fourth proportional to 9,606, 14,413.32 and 5,502 is: 8,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606 : 14,413.32 = 5,502 : x
  2. Step 2: Convert to fraction form
    9,606/14,413.32 = 5,502/x
  3. Step 3: Cross multiply
    9,606x = 14,413.32 × 5,502
  4. Step 4: Simplify right side
    9,606x = 79,302,086.64
  5. Step 5: Solve for x
    x = 79,302,086.64/9,606
  6. Step 6: Final answer
    x = 8,255.47

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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.