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Finding the Fourth Proportional to 9,604.94, 14,413.89 and 3,760.82

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Solution

The fourth proportional to 9,604.94, 14,413.89 and 3,760.82 is: 5,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.94 : 14,413.89 = 3,760.82 : x
  2. Step 2: Convert to fraction form
    9,604.94/14,413.89 = 3,760.82/x
  3. Step 3: Cross multiply
    9,604.94x = 14,413.89 × 3,760.82
  4. Step 4: Simplify right side
    9,604.94x = 54,208,045.79
  5. Step 5: Solve for x
    x = 54,208,045.79/9,604.94
  6. Step 6: Final answer
    x = 5,643.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.