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Finding the Fourth Proportional to 6,222.78, 9,288.65 and 5,484.67

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Solution

The fourth proportional to 6,222.78, 9,288.65 and 5,484.67 is: 8,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.78 : 9,288.65 = 5,484.67 : x
  2. Step 2: Convert to fraction form
    6,222.78/9,288.65 = 5,484.67/x
  3. Step 3: Cross multiply
    6,222.78x = 9,288.65 × 5,484.67
  4. Step 4: Simplify right side
    6,222.78x = 50,945,170.49
  5. Step 5: Solve for x
    x = 50,945,170.49/6,222.78
  6. Step 6: Final answer
    x = 8,186.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.