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Finding the Fourth Proportional to 9,726.44, 13,424.01 and 6,190.82

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Solution

The fourth proportional to 9,726.44, 13,424.01 and 6,190.82 is: 8,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.44 : 13,424.01 = 6,190.82 : x
  2. Step 2: Convert to fraction form
    9,726.44/13,424.01 = 6,190.82/x
  3. Step 3: Cross multiply
    9,726.44x = 13,424.01 × 6,190.82
  4. Step 4: Simplify right side
    9,726.44x = 83,105,629.59
  5. Step 5: Solve for x
    x = 83,105,629.59/9,726.44
  6. Step 6: Final answer
    x = 8,544.30

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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.