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Finding the Fourth Proportional to 8,969.50, 13,454.23 and 3,122

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Solution

The fourth proportional to 8,969.50, 13,454.23 and 3,122 is: 4,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.50 : 13,454.23 = 3,122 : x
  2. Step 2: Convert to fraction form
    8,969.50/13,454.23 = 3,122/x
  3. Step 3: Cross multiply
    8,969.50x = 13,454.23 × 3,122
  4. Step 4: Simplify right side
    8,969.50x = 42,004,106.06
  5. Step 5: Solve for x
    x = 42,004,106.06/8,969.50
  6. Step 6: Final answer
    x = 4,682.99

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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.