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Finding the Fourth Proportional to 9,824.10, 14,673.63 and 8,441.43

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Solution

The fourth proportional to 9,824.10, 14,673.63 and 8,441.43 is: 12,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.10 : 14,673.63 = 8,441.43 : x
  2. Step 2: Convert to fraction form
    9,824.10/14,673.63 = 8,441.43/x
  3. Step 3: Cross multiply
    9,824.10x = 14,673.63 × 8,441.43
  4. Step 4: Simplify right side
    9,824.10x = 123,866,420.49
  5. Step 5: Solve for x
    x = 123,866,420.49/9,824.10
  6. Step 6: Final answer
    x = 12,608.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.