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Finding the Fourth Proportional to 6,343, 9,512.65 and 2,446.49

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Solution

The fourth proportional to 6,343, 9,512.65 and 2,446.49 is: 3,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343 : 9,512.65 = 2,446.49 : x
  2. Step 2: Convert to fraction form
    6,343/9,512.65 = 2,446.49/x
  3. Step 3: Cross multiply
    6,343x = 9,512.65 × 2,446.49
  4. Step 4: Simplify right side
    6,343x = 23,272,603.10
  5. Step 5: Solve for x
    x = 23,272,603.10/6,343
  6. Step 6: Final answer
    x = 3,669.02

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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.