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Finding the Fourth Proportional to 6,287.36, 9,431.28 and 3,165.68

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Solution

The fourth proportional to 6,287.36, 9,431.28 and 3,165.68 is: 4,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.36 : 9,431.28 = 3,165.68 : x
  2. Step 2: Convert to fraction form
    6,287.36/9,431.28 = 3,165.68/x
  3. Step 3: Cross multiply
    6,287.36x = 9,431.28 × 3,165.68
  4. Step 4: Simplify right side
    6,287.36x = 29,856,414.47
  5. Step 5: Solve for x
    x = 29,856,414.47/6,287.36
  6. Step 6: Final answer
    x = 4,748.64

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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.