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Finding the Fourth Proportional to 7,094.12, 9,788.94 and 4,222.41

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Solution

The fourth proportional to 7,094.12, 9,788.94 and 4,222.41 is: 5,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.12 : 9,788.94 = 4,222.41 : x
  2. Step 2: Convert to fraction form
    7,094.12/9,788.94 = 4,222.41/x
  3. Step 3: Cross multiply
    7,094.12x = 9,788.94 × 4,222.41
  4. Step 4: Simplify right side
    7,094.12x = 41,332,918.15
  5. Step 5: Solve for x
    x = 41,332,918.15/7,094.12
  6. Step 6: Final answer
    x = 5,826.37

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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.