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Finding the Fourth Proportional to 9,950.22, 14,922.26 and 3,285.48

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Solution

The fourth proportional to 9,950.22, 14,922.26 and 3,285.48 is: 4,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.22 : 14,922.26 = 3,285.48 : x
  2. Step 2: Convert to fraction form
    9,950.22/14,922.26 = 3,285.48/x
  3. Step 3: Cross multiply
    9,950.22x = 14,922.26 × 3,285.48
  4. Step 4: Simplify right side
    9,950.22x = 49,026,786.78
  5. Step 5: Solve for x
    x = 49,026,786.78/9,950.22
  6. Step 6: Final answer
    x = 4,927.21

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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.