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Finding the Fourth Proportional to 6,222.88, 9,337.50 and 4,144.36

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Solution

The fourth proportional to 6,222.88, 9,337.50 and 4,144.36 is: 6,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.88 : 9,337.50 = 4,144.36 : x
  2. Step 2: Convert to fraction form
    6,222.88/9,337.50 = 4,144.36/x
  3. Step 3: Cross multiply
    6,222.88x = 9,337.50 × 4,144.36
  4. Step 4: Simplify right side
    6,222.88x = 38,697,961.50
  5. Step 5: Solve for x
    x = 38,697,961.50/6,222.88
  6. Step 6: Final answer
    x = 6,218.66

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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.