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Finding the Fourth Proportional to 6,431.28, 9,645 and 2,270.52

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Solution

The fourth proportional to 6,431.28, 9,645 and 2,270.52 is: 3,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.28 : 9,645 = 2,270.52 : x
  2. Step 2: Convert to fraction form
    6,431.28/9,645 = 2,270.52/x
  3. Step 3: Cross multiply
    6,431.28x = 9,645 × 2,270.52
  4. Step 4: Simplify right side
    6,431.28x = 21,899,165.40
  5. Step 5: Solve for x
    x = 21,899,165.40/6,431.28
  6. Step 6: Final answer
    x = 3,405.10

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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.