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Finding the Fourth Proportional to 9,763.07, 13,474.76 and 5,786.37

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Solution

The fourth proportional to 9,763.07, 13,474.76 and 5,786.37 is: 7,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.07 : 13,474.76 = 5,786.37 : x
  2. Step 2: Convert to fraction form
    9,763.07/13,474.76 = 5,786.37/x
  3. Step 3: Cross multiply
    9,763.07x = 13,474.76 × 5,786.37
  4. Step 4: Simplify right side
    9,763.07x = 77,969,918.09
  5. Step 5: Solve for x
    x = 77,969,918.09/9,763.07
  6. Step 6: Final answer
    x = 7,986.21

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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.