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Finding the Fourth Proportional to 9,211.70, 13,817.63 and 5,711.90

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Solution

The fourth proportional to 9,211.70, 13,817.63 and 5,711.90 is: 8,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.70 : 13,817.63 = 5,711.90 : x
  2. Step 2: Convert to fraction form
    9,211.70/13,817.63 = 5,711.90/x
  3. Step 3: Cross multiply
    9,211.70x = 13,817.63 × 5,711.90
  4. Step 4: Simplify right side
    9,211.70x = 78,924,865.99
  5. Step 5: Solve for x
    x = 78,924,865.99/9,211.70
  6. Step 6: Final answer
    x = 8,567.89

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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.