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Finding the Fourth Proportional to 9,965.92, 14,949.36 and 4,413.28

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Solution

The fourth proportional to 9,965.92, 14,949.36 and 4,413.28 is: 6,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.92 : 14,949.36 = 4,413.28 : x
  2. Step 2: Convert to fraction form
    9,965.92/14,949.36 = 4,413.28/x
  3. Step 3: Cross multiply
    9,965.92x = 14,949.36 × 4,413.28
  4. Step 4: Simplify right side
    9,965.92x = 65,975,711.50
  5. Step 5: Solve for x
    x = 65,975,711.50/9,965.92
  6. Step 6: Final answer
    x = 6,620.13

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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.