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Finding the Fourth Proportional to 6,243.30, 9,367.65 and 3,165.30

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Solution

The fourth proportional to 6,243.30, 9,367.65 and 3,165.30 is: 4,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.30 : 9,367.65 = 3,165.30 : x
  2. Step 2: Convert to fraction form
    6,243.30/9,367.65 = 3,165.30/x
  3. Step 3: Cross multiply
    6,243.30x = 9,367.65 × 3,165.30
  4. Step 4: Simplify right side
    6,243.30x = 29,651,422.55
  5. Step 5: Solve for x
    x = 29,651,422.55/6,243.30
  6. Step 6: Final answer
    x = 4,749.32

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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.