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Finding the Fourth Proportional to 6,223.25, 9,329.51 and 2,934.05

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Solution

The fourth proportional to 6,223.25, 9,329.51 and 2,934.05 is: 4,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.25 : 9,329.51 = 2,934.05 : x
  2. Step 2: Convert to fraction form
    6,223.25/9,329.51 = 2,934.05/x
  3. Step 3: Cross multiply
    6,223.25x = 9,329.51 × 2,934.05
  4. Step 4: Simplify right side
    6,223.25x = 27,373,209.50
  5. Step 5: Solve for x
    x = 27,373,209.50/6,223.25
  6. Step 6: Final answer
    x = 4,398.54

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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.