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Finding the Fourth Proportional to 9,224.96, 13,846.85 and 6,752.43

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Solution

The fourth proportional to 9,224.96, 13,846.85 and 6,752.43 is: 10,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.96 : 13,846.85 = 6,752.43 : x
  2. Step 2: Convert to fraction form
    9,224.96/13,846.85 = 6,752.43/x
  3. Step 3: Cross multiply
    9,224.96x = 13,846.85 × 6,752.43
  4. Step 4: Simplify right side
    9,224.96x = 93,499,936.84
  5. Step 5: Solve for x
    x = 93,499,936.84/9,224.96
  6. Step 6: Final answer
    x = 10,135.54

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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.