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Finding the Fourth Proportional to 9,959.75, 13,745.37 and 5,484.41

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Solution

The fourth proportional to 9,959.75, 13,745.37 and 5,484.41 is: 7,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.75 : 13,745.37 = 5,484.41 : x
  2. Step 2: Convert to fraction form
    9,959.75/13,745.37 = 5,484.41/x
  3. Step 3: Cross multiply
    9,959.75x = 13,745.37 × 5,484.41
  4. Step 4: Simplify right side
    9,959.75x = 75,385,244.68
  5. Step 5: Solve for x
    x = 75,385,244.68/9,959.75
  6. Step 6: Final answer
    x = 7,568.99

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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.