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Finding the Fourth Proportional to 6,529.72, 9,004.50 and 4,171

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Solution

The fourth proportional to 6,529.72, 9,004.50 and 4,171 is: 5,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.72 : 9,004.50 = 4,171 : x
  2. Step 2: Convert to fraction form
    6,529.72/9,004.50 = 4,171/x
  3. Step 3: Cross multiply
    6,529.72x = 9,004.50 × 4,171
  4. Step 4: Simplify right side
    6,529.72x = 37,557,769.50
  5. Step 5: Solve for x
    x = 37,557,769.50/6,529.72
  6. Step 6: Final answer
    x = 5,751.82

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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.