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Finding the Fourth Proportional to 6,137.06, 8,466.06 and 4,013.84

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Solution

The fourth proportional to 6,137.06, 8,466.06 and 4,013.84 is: 5,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.06 : 8,466.06 = 4,013.84 : x
  2. Step 2: Convert to fraction form
    6,137.06/8,466.06 = 4,013.84/x
  3. Step 3: Cross multiply
    6,137.06x = 8,466.06 × 4,013.84
  4. Step 4: Simplify right side
    6,137.06x = 33,981,410.27
  5. Step 5: Solve for x
    x = 33,981,410.27/6,137.06
  6. Step 6: Final answer
    x = 5,537.08

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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.