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Finding the Fourth Proportional to 9,775.49, 14,664.09 and 2,755.56

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Solution

The fourth proportional to 9,775.49, 14,664.09 and 2,755.56 is: 4,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.49 : 14,664.09 = 2,755.56 : x
  2. Step 2: Convert to fraction form
    9,775.49/14,664.09 = 2,755.56/x
  3. Step 3: Cross multiply
    9,775.49x = 14,664.09 × 2,755.56
  4. Step 4: Simplify right side
    9,775.49x = 40,407,845.16
  5. Step 5: Solve for x
    x = 40,407,845.16/9,775.49
  6. Step 6: Final answer
    x = 4,133.59

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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.