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Finding the Fourth Proportional to 6,496.43, 9,738.50 and 5,918.63

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Solution

The fourth proportional to 6,496.43, 9,738.50 and 5,918.63 is: 8,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.43 : 9,738.50 = 5,918.63 : x
  2. Step 2: Convert to fraction form
    6,496.43/9,738.50 = 5,918.63/x
  3. Step 3: Cross multiply
    6,496.43x = 9,738.50 × 5,918.63
  4. Step 4: Simplify right side
    6,496.43x = 57,638,499.97
  5. Step 5: Solve for x
    x = 57,638,499.97/6,496.43
  6. Step 6: Final answer
    x = 8,872.34

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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.