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Finding the Fourth Proportional to 9,763.57, 14,647.61 and 3,190.24

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Solution

The fourth proportional to 9,763.57, 14,647.61 and 3,190.24 is: 4,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.57 : 14,647.61 = 3,190.24 : x
  2. Step 2: Convert to fraction form
    9,763.57/14,647.61 = 3,190.24/x
  3. Step 3: Cross multiply
    9,763.57x = 14,647.61 × 3,190.24
  4. Step 4: Simplify right side
    9,763.57x = 46,729,391.33
  5. Step 5: Solve for x
    x = 46,729,391.33/9,763.57
  6. Step 6: Final answer
    x = 4,786.10

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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.