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Finding the Fourth Proportional to 6,137.17, 8,466.60 and 4,147

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Solution

The fourth proportional to 6,137.17, 8,466.60 and 4,147 is: 5,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.17 : 8,466.60 = 4,147 : x
  2. Step 2: Convert to fraction form
    6,137.17/8,466.60 = 4,147/x
  3. Step 3: Cross multiply
    6,137.17x = 8,466.60 × 4,147
  4. Step 4: Simplify right side
    6,137.17x = 35,110,990.20
  5. Step 5: Solve for x
    x = 35,110,990.20/6,137.17
  6. Step 6: Final answer
    x = 5,721.04

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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.