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Finding the Fourth Proportional to 6,492.24, 9,723.78 and 6,273.54

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Solution

The fourth proportional to 6,492.24, 9,723.78 and 6,273.54 is: 9,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.24 : 9,723.78 = 6,273.54 : x
  2. Step 2: Convert to fraction form
    6,492.24/9,723.78 = 6,273.54/x
  3. Step 3: Cross multiply
    6,492.24x = 9,723.78 × 6,273.54
  4. Step 4: Simplify right side
    6,492.24x = 61,002,522.78
  5. Step 5: Solve for x
    x = 61,002,522.78/6,492.24
  6. Step 6: Final answer
    x = 9,396.22

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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.