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Finding the Fourth Proportional to 9,964.10, 14,951.99 and 4,418.06

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Solution

The fourth proportional to 9,964.10, 14,951.99 and 4,418.06 is: 6,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.10 : 14,951.99 = 4,418.06 : x
  2. Step 2: Convert to fraction form
    9,964.10/14,951.99 = 4,418.06/x
  3. Step 3: Cross multiply
    9,964.10x = 14,951.99 × 4,418.06
  4. Step 4: Simplify right side
    9,964.10x = 66,058,692.09
  5. Step 5: Solve for x
    x = 66,058,692.09/9,964.10
  6. Step 6: Final answer
    x = 6,629.67

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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.