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Finding the Fourth Proportional to 9,961.75, 14,929.83 and 5,020.33

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Solution

The fourth proportional to 9,961.75, 14,929.83 and 5,020.33 is: 7,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.75 : 14,929.83 = 5,020.33 : x
  2. Step 2: Convert to fraction form
    9,961.75/14,929.83 = 5,020.33/x
  3. Step 3: Cross multiply
    9,961.75x = 14,929.83 × 5,020.33
  4. Step 4: Simplify right side
    9,961.75x = 74,952,673.44
  5. Step 5: Solve for x
    x = 74,952,673.44/9,961.75
  6. Step 6: Final answer
    x = 7,524.05

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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.