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Finding the Fourth Proportional to 9,770.67, 13,482.09 and 5,735.97

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Solution

The fourth proportional to 9,770.67, 13,482.09 and 5,735.97 is: 7,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.67 : 13,482.09 = 5,735.97 : x
  2. Step 2: Convert to fraction form
    9,770.67/13,482.09 = 5,735.97/x
  3. Step 3: Cross multiply
    9,770.67x = 13,482.09 × 5,735.97
  4. Step 4: Simplify right side
    9,770.67x = 77,332,863.78
  5. Step 5: Solve for x
    x = 77,332,863.78/9,770.67
  6. Step 6: Final answer
    x = 7,914.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.