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Finding the Fourth Proportional to 9,161.69, 13,745.27 and 6,498.41

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Solution

The fourth proportional to 9,161.69, 13,745.27 and 6,498.41 is: 9,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.69 : 13,745.27 = 6,498.41 : x
  2. Step 2: Convert to fraction form
    9,161.69/13,745.27 = 6,498.41/x
  3. Step 3: Cross multiply
    9,161.69x = 13,745.27 × 6,498.41
  4. Step 4: Simplify right side
    9,161.69x = 89,322,400.02
  5. Step 5: Solve for x
    x = 89,322,400.02/9,161.69
  6. Step 6: Final answer
    x = 9,749.55

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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.