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Finding the Fourth Proportional to 9,164.36, 13,745.55 and 6,221.72

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Solution

The fourth proportional to 9,164.36, 13,745.55 and 6,221.72 is: 9,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.36 : 13,745.55 = 6,221.72 : x
  2. Step 2: Convert to fraction form
    9,164.36/13,745.55 = 6,221.72/x
  3. Step 3: Cross multiply
    9,164.36x = 13,745.55 × 6,221.72
  4. Step 4: Simplify right side
    9,164.36x = 85,520,963.35
  5. Step 5: Solve for x
    x = 85,520,963.35/9,164.36
  6. Step 6: Final answer
    x = 9,331.91

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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.