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Finding the Fourth Proportional to 6,222.72, 9,329.15 and 3,101.03

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Solution

The fourth proportional to 6,222.72, 9,329.15 and 3,101.03 is: 4,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.72 : 9,329.15 = 3,101.03 : x
  2. Step 2: Convert to fraction form
    6,222.72/9,329.15 = 3,101.03/x
  3. Step 3: Cross multiply
    6,222.72x = 9,329.15 × 3,101.03
  4. Step 4: Simplify right side
    6,222.72x = 28,929,911.87
  5. Step 5: Solve for x
    x = 28,929,911.87/6,222.72
  6. Step 6: Final answer
    x = 4,649.08

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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.