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Finding the Fourth Proportional to 9,492.73, 14,242.39 and 4,231.49

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Solution

The fourth proportional to 9,492.73, 14,242.39 and 4,231.49 is: 6,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.73 : 14,242.39 = 4,231.49 : x
  2. Step 2: Convert to fraction form
    9,492.73/14,242.39 = 4,231.49/x
  3. Step 3: Cross multiply
    9,492.73x = 14,242.39 × 4,231.49
  4. Step 4: Simplify right side
    9,492.73x = 60,266,449.07
  5. Step 5: Solve for x
    x = 60,266,449.07/9,492.73
  6. Step 6: Final answer
    x = 6,348.70

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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.