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Finding the Fourth Proportional to 9,722.12, 14,591.82 and 3,890.12

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Solution

The fourth proportional to 9,722.12, 14,591.82 and 3,890.12 is: 5,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.12 : 14,591.82 = 3,890.12 : x
  2. Step 2: Convert to fraction form
    9,722.12/14,591.82 = 3,890.12/x
  3. Step 3: Cross multiply
    9,722.12x = 14,591.82 × 3,890.12
  4. Step 4: Simplify right side
    9,722.12x = 56,763,930.82
  5. Step 5: Solve for x
    x = 56,763,930.82/9,722.12
  6. Step 6: Final answer
    x = 5,838.64

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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.