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Finding the Fourth Proportional to 8,969.82, 13,454.74 and 4,038.54

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Solution

The fourth proportional to 8,969.82, 13,454.74 and 4,038.54 is: 6,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.82 : 13,454.74 = 4,038.54 : x
  2. Step 2: Convert to fraction form
    8,969.82/13,454.74 = 4,038.54/x
  3. Step 3: Cross multiply
    8,969.82x = 13,454.74 × 4,038.54
  4. Step 4: Simplify right side
    8,969.82x = 54,337,505.68
  5. Step 5: Solve for x
    x = 54,337,505.68/8,969.82
  6. Step 6: Final answer
    x = 6,057.81

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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.