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Finding the Fourth Proportional to 9,721.77, 14,586.78 and 4,791.44

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Solution

The fourth proportional to 9,721.77, 14,586.78 and 4,791.44 is: 7,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.77 : 14,586.78 = 4,791.44 : x
  2. Step 2: Convert to fraction form
    9,721.77/14,586.78 = 4,791.44/x
  3. Step 3: Cross multiply
    9,721.77x = 14,586.78 × 4,791.44
  4. Step 4: Simplify right side
    9,721.77x = 69,891,608.23
  5. Step 5: Solve for x
    x = 69,891,608.23/9,721.77
  6. Step 6: Final answer
    x = 7,189.19

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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.