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Finding the Fourth Proportional to 9,604.44, 14,413.14 and 3,760.32

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Solution

The fourth proportional to 9,604.44, 14,413.14 and 3,760.32 is: 5,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.44 : 14,413.14 = 3,760.32 : x
  2. Step 2: Convert to fraction form
    9,604.44/14,413.14 = 3,760.32/x
  3. Step 3: Cross multiply
    9,604.44x = 14,413.14 × 3,760.32
  4. Step 4: Simplify right side
    9,604.44x = 54,198,018.60
  5. Step 5: Solve for x
    x = 54,198,018.60/9,604.44
  6. Step 6: Final answer
    x = 5,643.02

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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.