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Finding the Fourth Proportional to 6,329.49, 9,496.43 and 2,821.99

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Solution

The fourth proportional to 6,329.49, 9,496.43 and 2,821.99 is: 4,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.49 : 9,496.43 = 2,821.99 : x
  2. Step 2: Convert to fraction form
    6,329.49/9,496.43 = 2,821.99/x
  3. Step 3: Cross multiply
    6,329.49x = 9,496.43 × 2,821.99
  4. Step 4: Simplify right side
    6,329.49x = 26,798,830.50
  5. Step 5: Solve for x
    x = 26,798,830.50/6,329.49
  6. Step 6: Final answer
    x = 4,233.96

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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.