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Finding the Fourth Proportional to 6,496.43, 9,738.80 and 2,335.46

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Solution

The fourth proportional to 6,496.43, 9,738.80 and 2,335.46 is: 3,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.43 : 9,738.80 = 2,335.46 : x
  2. Step 2: Convert to fraction form
    6,496.43/9,738.80 = 2,335.46/x
  3. Step 3: Cross multiply
    6,496.43x = 9,738.80 × 2,335.46
  4. Step 4: Simplify right side
    6,496.43x = 22,744,608.03
  5. Step 5: Solve for x
    x = 22,744,608.03/6,496.43
  6. Step 6: Final answer
    x = 3,501.09

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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.