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Finding the Fourth Proportional to 9,796.49, 13,519.67 and 5,763.53

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Solution

The fourth proportional to 9,796.49, 13,519.67 and 5,763.53 is: 7,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.49 : 13,519.67 = 5,763.53 : x
  2. Step 2: Convert to fraction form
    9,796.49/13,519.67 = 5,763.53/x
  3. Step 3: Cross multiply
    9,796.49x = 13,519.67 × 5,763.53
  4. Step 4: Simplify right side
    9,796.49x = 77,921,021.14
  5. Step 5: Solve for x
    x = 77,921,021.14/9,796.49
  6. Step 6: Final answer
    x = 7,953.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.