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Finding the Fourth Proportional to 6,333.44, 9,500.16 and 1,716.56

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Solution

The fourth proportional to 6,333.44, 9,500.16 and 1,716.56 is: 2,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.44 : 9,500.16 = 1,716.56 : x
  2. Step 2: Convert to fraction form
    6,333.44/9,500.16 = 1,716.56/x
  3. Step 3: Cross multiply
    6,333.44x = 9,500.16 × 1,716.56
  4. Step 4: Simplify right side
    6,333.44x = 16,307,594.65
  5. Step 5: Solve for x
    x = 16,307,594.65/6,333.44
  6. Step 6: Final answer
    x = 2,574.84

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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.