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Finding the Fourth Proportional to 6,819.88, 9,414.08 and 4,301.46

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Solution

The fourth proportional to 6,819.88, 9,414.08 and 4,301.46 is: 5,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.88 : 9,414.08 = 4,301.46 : x
  2. Step 2: Convert to fraction form
    6,819.88/9,414.08 = 4,301.46/x
  3. Step 3: Cross multiply
    6,819.88x = 9,414.08 × 4,301.46
  4. Step 4: Simplify right side
    6,819.88x = 40,494,288.56
  5. Step 5: Solve for x
    x = 40,494,288.56/6,819.88
  6. Step 6: Final answer
    x = 5,937.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.