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Finding the Fourth Proportional to 9,413.96, 14,038.67 and 8,249.37

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Solution

The fourth proportional to 9,413.96, 14,038.67 and 8,249.37 is: 12,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.96 : 14,038.67 = 8,249.37 : x
  2. Step 2: Convert to fraction form
    9,413.96/14,038.67 = 8,249.37/x
  3. Step 3: Cross multiply
    9,413.96x = 14,038.67 × 8,249.37
  4. Step 4: Simplify right side
    9,413.96x = 115,810,141.89
  5. Step 5: Solve for x
    x = 115,810,141.89/9,413.96
  6. Step 6: Final answer
    x = 12,301.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.