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Finding the Fourth Proportional to 9,466.77, 14,201.87 and 3,917.09

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Solution

The fourth proportional to 9,466.77, 14,201.87 and 3,917.09 is: 5,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.77 : 14,201.87 = 3,917.09 : x
  2. Step 2: Convert to fraction form
    9,466.77/14,201.87 = 3,917.09/x
  3. Step 3: Cross multiply
    9,466.77x = 14,201.87 × 3,917.09
  4. Step 4: Simplify right side
    9,466.77x = 55,630,018.88
  5. Step 5: Solve for x
    x = 55,630,018.88/9,466.77
  6. Step 6: Final answer
    x = 5,876.34

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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.