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Finding the Fourth Proportional to 6,845.34, 10,218.49 and 6,014.97

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Solution

The fourth proportional to 6,845.34, 10,218.49 and 6,014.97 is: 8,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.34 : 10,218.49 = 6,014.97 : x
  2. Step 2: Convert to fraction form
    6,845.34/10,218.49 = 6,014.97/x
  3. Step 3: Cross multiply
    6,845.34x = 10,218.49 × 6,014.97
  4. Step 4: Simplify right side
    6,845.34x = 61,463,910.80
  5. Step 5: Solve for x
    x = 61,463,910.80/6,845.34
  6. Step 6: Final answer
    x = 8,978.94

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