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Finding the Fourth Proportional to 6,331.52, 9,496.40 and 2,171.46

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Solution

The fourth proportional to 6,331.52, 9,496.40 and 2,171.46 is: 3,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.52 : 9,496.40 = 2,171.46 : x
  2. Step 2: Convert to fraction form
    6,331.52/9,496.40 = 2,171.46/x
  3. Step 3: Cross multiply
    6,331.52x = 9,496.40 × 2,171.46
  4. Step 4: Simplify right side
    6,331.52x = 20,621,041.89
  5. Step 5: Solve for x
    x = 20,621,041.89/6,331.52
  6. Step 6: Final answer
    x = 3,256.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.