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Finding the Fourth Proportional to 9,211.68, 13,821.60 and 4,828.09

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Solution

The fourth proportional to 9,211.68, 13,821.60 and 4,828.09 is: 7,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.68 : 13,821.60 = 4,828.09 : x
  2. Step 2: Convert to fraction form
    9,211.68/13,821.60 = 4,828.09/x
  3. Step 3: Cross multiply
    9,211.68x = 13,821.60 × 4,828.09
  4. Step 4: Simplify right side
    9,211.68x = 66,731,928.74
  5. Step 5: Solve for x
    x = 66,731,928.74/9,211.68
  6. Step 6: Final answer
    x = 7,244.27

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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.