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Finding the Fourth Proportional to 6,904.46, 9,529.16 and 3,919.68

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Solution

The fourth proportional to 6,904.46, 9,529.16 and 3,919.68 is: 5,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.46 : 9,529.16 = 3,919.68 : x
  2. Step 2: Convert to fraction form
    6,904.46/9,529.16 = 3,919.68/x
  3. Step 3: Cross multiply
    6,904.46x = 9,529.16 × 3,919.68
  4. Step 4: Simplify right side
    6,904.46x = 37,351,257.87
  5. Step 5: Solve for x
    x = 37,351,257.87/6,904.46
  6. Step 6: Final answer
    x = 5,409.73

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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.