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Finding the Fourth Proportional to 6,915.41, 9,540.23 and 4,676.48

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Solution

The fourth proportional to 6,915.41, 9,540.23 and 4,676.48 is: 6,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.41 : 9,540.23 = 4,676.48 : x
  2. Step 2: Convert to fraction form
    6,915.41/9,540.23 = 4,676.48/x
  3. Step 3: Cross multiply
    6,915.41x = 9,540.23 × 4,676.48
  4. Step 4: Simplify right side
    6,915.41x = 44,614,671.41
  5. Step 5: Solve for x
    x = 44,614,671.41/6,915.41
  6. Step 6: Final answer
    x = 6,451.49

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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.