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Finding the Fourth Proportional to 7,014.67, 9,676.90 and 4,180.41

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Solution

The fourth proportional to 7,014.67, 9,676.90 and 4,180.41 is: 5,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.67 : 9,676.90 = 4,180.41 : x
  2. Step 2: Convert to fraction form
    7,014.67/9,676.90 = 4,180.41/x
  3. Step 3: Cross multiply
    7,014.67x = 9,676.90 × 4,180.41
  4. Step 4: Simplify right side
    7,014.67x = 40,453,414.75
  5. Step 5: Solve for x
    x = 40,453,414.75/7,014.67
  6. Step 6: Final answer
    x = 5,766.98

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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.