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Finding the Fourth Proportional to 9,786.38, 14,679.04 and 3,211.70

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Solution

The fourth proportional to 9,786.38, 14,679.04 and 3,211.70 is: 4,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.38 : 14,679.04 = 3,211.70 : x
  2. Step 2: Convert to fraction form
    9,786.38/14,679.04 = 3,211.70/x
  3. Step 3: Cross multiply
    9,786.38x = 14,679.04 × 3,211.70
  4. Step 4: Simplify right side
    9,786.38x = 47,144,672.77
  5. Step 5: Solve for x
    x = 47,144,672.77/9,786.38
  6. Step 6: Final answer
    x = 4,817.38

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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.