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Finding the Fourth Proportional to 6,738.88, 9,305.38 and 4,225.20

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Solution

The fourth proportional to 6,738.88, 9,305.38 and 4,225.20 is: 5,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.88 : 9,305.38 = 4,225.20 : x
  2. Step 2: Convert to fraction form
    6,738.88/9,305.38 = 4,225.20/x
  3. Step 3: Cross multiply
    6,738.88x = 9,305.38 × 4,225.20
  4. Step 4: Simplify right side
    6,738.88x = 39,317,045.05
  5. Step 5: Solve for x
    x = 39,317,045.05/6,738.88
  6. Step 6: Final answer
    x = 5,834.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.