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Finding the Fourth Proportional to 10,222.93, 14,108.95 and 6,243.21

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Solution

The fourth proportional to 10,222.93, 14,108.95 and 6,243.21 is: 8,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.93 : 14,108.95 = 6,243.21 : x
  2. Step 2: Convert to fraction form
    10,222.93/14,108.95 = 6,243.21/x
  3. Step 3: Cross multiply
    10,222.93x = 14,108.95 × 6,243.21
  4. Step 4: Simplify right side
    10,222.93x = 88,085,137.73
  5. Step 5: Solve for x
    x = 88,085,137.73/10,222.93
  6. Step 6: Final answer
    x = 8,616.43

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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.