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Finding the Fourth Proportional to 9,678.24, 14,491.44 and 7,954.56

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Solution

The fourth proportional to 9,678.24, 14,491.44 and 7,954.56 is: 11,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.24 : 14,491.44 = 7,954.56 : x
  2. Step 2: Convert to fraction form
    9,678.24/14,491.44 = 7,954.56/x
  3. Step 3: Cross multiply
    9,678.24x = 14,491.44 × 7,954.56
  4. Step 4: Simplify right side
    9,678.24x = 115,273,028.97
  5. Step 5: Solve for x
    x = 115,273,028.97/9,678.24
  6. Step 6: Final answer
    x = 11,910.54

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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.