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Finding the Fourth Proportional to 9,607.50, 14,413.38 and 2,944.92

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Solution

The fourth proportional to 9,607.50, 14,413.38 and 2,944.92 is: 4,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 14,413.38 = 2,944.92 : x
  2. Step 2: Convert to fraction form
    9,607.50/14,413.38 = 2,944.92/x
  3. Step 3: Cross multiply
    9,607.50x = 14,413.38 × 2,944.92
  4. Step 4: Simplify right side
    9,607.50x = 42,446,245.65
  5. Step 5: Solve for x
    x = 42,446,245.65/9,607.50
  6. Step 6: Final answer
    x = 4,418.03

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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.