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Finding the Fourth Proportional to 9,222.73, 13,833.99 and 4,289.63

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Solution

The fourth proportional to 9,222.73, 13,833.99 and 4,289.63 is: 6,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.73 : 13,833.99 = 4,289.63 : x
  2. Step 2: Convert to fraction form
    9,222.73/13,833.99 = 4,289.63/x
  3. Step 3: Cross multiply
    9,222.73x = 13,833.99 × 4,289.63
  4. Step 4: Simplify right side
    9,222.73x = 59,342,629.35
  5. Step 5: Solve for x
    x = 59,342,629.35/9,222.73
  6. Step 6: Final answer
    x = 6,434.39

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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.