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Finding the Fourth Proportional to 6,533.69, 9,016.46 and 3,701.05

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Solution

The fourth proportional to 6,533.69, 9,016.46 and 3,701.05 is: 5,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.69 : 9,016.46 = 3,701.05 : x
  2. Step 2: Convert to fraction form
    6,533.69/9,016.46 = 3,701.05/x
  3. Step 3: Cross multiply
    6,533.69x = 9,016.46 × 3,701.05
  4. Step 4: Simplify right side
    6,533.69x = 33,370,388.29
  5. Step 5: Solve for x
    x = 33,370,388.29/6,533.69
  6. Step 6: Final answer
    x = 5,107.44

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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.