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Finding the Fourth Proportional to 6,530.41, 9,797.28 and 2,147.91

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Solution

The fourth proportional to 6,530.41, 9,797.28 and 2,147.91 is: 3,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.41 : 9,797.28 = 2,147.91 : x
  2. Step 2: Convert to fraction form
    6,530.41/9,797.28 = 2,147.91/x
  3. Step 3: Cross multiply
    6,530.41x = 9,797.28 × 2,147.91
  4. Step 4: Simplify right side
    6,530.41x = 21,043,675.68
  5. Step 5: Solve for x
    x = 21,043,675.68/6,530.41
  6. Step 6: Final answer
    x = 3,222.41

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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.