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Finding the Fourth Proportional to 6,471.35, 9,694.26 and 6,015.72

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Solution

The fourth proportional to 6,471.35, 9,694.26 and 6,015.72 is: 9,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.35 : 9,694.26 = 6,015.72 : x
  2. Step 2: Convert to fraction form
    6,471.35/9,694.26 = 6,015.72/x
  3. Step 3: Cross multiply
    6,471.35x = 9,694.26 × 6,015.72
  4. Step 4: Simplify right side
    6,471.35x = 58,317,953.77
  5. Step 5: Solve for x
    x = 58,317,953.77/6,471.35
  6. Step 6: Final answer
    x = 9,011.71

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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.