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Finding the Fourth Proportional to 6,836.72, 9,437.02 and 4,005

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Solution

The fourth proportional to 6,836.72, 9,437.02 and 4,005 is: 5,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.72 : 9,437.02 = 4,005 : x
  2. Step 2: Convert to fraction form
    6,836.72/9,437.02 = 4,005/x
  3. Step 3: Cross multiply
    6,836.72x = 9,437.02 × 4,005
  4. Step 4: Simplify right side
    6,836.72x = 37,795,245.08
  5. Step 5: Solve for x
    x = 37,795,245.08/6,836.72
  6. Step 6: Final answer
    x = 5,528.27

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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.