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Finding the Fourth Proportional to 9,769.14, 14,677.07 and 6,265.99

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Solution

The fourth proportional to 9,769.14, 14,677.07 and 6,265.99 is: 9,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.14 : 14,677.07 = 6,265.99 : x
  2. Step 2: Convert to fraction form
    9,769.14/14,677.07 = 6,265.99/x
  3. Step 3: Cross multiply
    9,769.14x = 14,677.07 × 6,265.99
  4. Step 4: Simplify right side
    9,769.14x = 91,966,360.87
  5. Step 5: Solve for x
    x = 91,966,360.87/9,769.14
  6. Step 6: Final answer
    x = 9,413.97

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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.