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Finding the Fourth Proportional to 6,982.02, 9,635.22 and 4,187.52

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Solution

The fourth proportional to 6,982.02, 9,635.22 and 4,187.52 is: 5,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.02 : 9,635.22 = 4,187.52 : x
  2. Step 2: Convert to fraction form
    6,982.02/9,635.22 = 4,187.52/x
  3. Step 3: Cross multiply
    6,982.02x = 9,635.22 × 4,187.52
  4. Step 4: Simplify right side
    6,982.02x = 40,347,676.45
  5. Step 5: Solve for x
    x = 40,347,676.45/6,982.02
  6. Step 6: Final answer
    x = 5,778.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.