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Finding the Fourth Proportional to 9,964.75, 13,751.72 and 6,190

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Solution

The fourth proportional to 9,964.75, 13,751.72 and 6,190 is: 8,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.75 : 13,751.72 = 6,190 : x
  2. Step 2: Convert to fraction form
    9,964.75/13,751.72 = 6,190/x
  3. Step 3: Cross multiply
    9,964.75x = 13,751.72 × 6,190
  4. Step 4: Simplify right side
    9,964.75x = 85,123,146.80
  5. Step 5: Solve for x
    x = 85,123,146.80/9,964.75
  6. Step 6: Final answer
    x = 8,542.43

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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.