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Finding the Fourth Proportional to 9,782.26, 14,674.23 and 2,762.33

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Solution

The fourth proportional to 9,782.26, 14,674.23 and 2,762.33 is: 4,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.26 : 14,674.23 = 2,762.33 : x
  2. Step 2: Convert to fraction form
    9,782.26/14,674.23 = 2,762.33/x
  3. Step 3: Cross multiply
    9,782.26x = 14,674.23 × 2,762.33
  4. Step 4: Simplify right side
    9,782.26x = 40,534,992.38
  5. Step 5: Solve for x
    x = 40,534,992.38/9,782.26
  6. Step 6: Final answer
    x = 4,143.73

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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.