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Finding the Fourth Proportional to 6,340.23, 9,512.10 and 2,644.20

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Solution

The fourth proportional to 6,340.23, 9,512.10 and 2,644.20 is: 3,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.23 : 9,512.10 = 2,644.20 : x
  2. Step 2: Convert to fraction form
    6,340.23/9,512.10 = 2,644.20/x
  3. Step 3: Cross multiply
    6,340.23x = 9,512.10 × 2,644.20
  4. Step 4: Simplify right side
    6,340.23x = 25,151,894.82
  5. Step 5: Solve for x
    x = 25,151,894.82/6,340.23
  6. Step 6: Final answer
    x = 3,967.03

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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.