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Finding the Fourth Proportional to 8,969.50, 13,441.95 and 5,676.72

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Solution

The fourth proportional to 8,969.50, 13,441.95 and 5,676.72 is: 8,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.50 : 13,441.95 = 5,676.72 : x
  2. Step 2: Convert to fraction form
    8,969.50/13,441.95 = 5,676.72/x
  3. Step 3: Cross multiply
    8,969.50x = 13,441.95 × 5,676.72
  4. Step 4: Simplify right side
    8,969.50x = 76,306,136.00
  5. Step 5: Solve for x
    x = 76,306,136.00/8,969.50
  6. Step 6: Final answer
    x = 8,507.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.