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Finding the Fourth Proportional to 6,222.35, 9,321 and 3,092.88

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Solution

The fourth proportional to 6,222.35, 9,321 and 3,092.88 is: 4,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.35 : 9,321 = 3,092.88 : x
  2. Step 2: Convert to fraction form
    6,222.35/9,321 = 3,092.88/x
  3. Step 3: Cross multiply
    6,222.35x = 9,321 × 3,092.88
  4. Step 4: Simplify right side
    6,222.35x = 28,828,734.48
  5. Step 5: Solve for x
    x = 28,828,734.48/6,222.35
  6. Step 6: Final answer
    x = 4,633.10

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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.