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Finding the Fourth Proportional to 9,222.18, 13,843.54 and 4,778.68

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Solution

The fourth proportional to 9,222.18, 13,843.54 and 4,778.68 is: 7,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.18 : 13,843.54 = 4,778.68 : x
  2. Step 2: Convert to fraction form
    9,222.18/13,843.54 = 4,778.68/x
  3. Step 3: Cross multiply
    9,222.18x = 13,843.54 × 4,778.68
  4. Step 4: Simplify right side
    9,222.18x = 66,153,847.73
  5. Step 5: Solve for x
    x = 66,153,847.73/9,222.18
  6. Step 6: Final answer
    x = 7,173.34

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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.