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Finding the Fourth Proportional to 9,745.54, 13,447.35 and 5,496.41

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Solution

The fourth proportional to 9,745.54, 13,447.35 and 5,496.41 is: 7,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.54 : 13,447.35 = 5,496.41 : x
  2. Step 2: Convert to fraction form
    9,745.54/13,447.35 = 5,496.41/x
  3. Step 3: Cross multiply
    9,745.54x = 13,447.35 × 5,496.41
  4. Step 4: Simplify right side
    9,745.54x = 73,912,182.63
  5. Step 5: Solve for x
    x = 73,912,182.63/9,745.54
  6. Step 6: Final answer
    x = 7,584.21

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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.