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Finding the Fourth Proportional to 6,422.46, 8,852.40 and 4,297.24

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Solution

The fourth proportional to 6,422.46, 8,852.40 and 4,297.24 is: 5,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.46 : 8,852.40 = 4,297.24 : x
  2. Step 2: Convert to fraction form
    6,422.46/8,852.40 = 4,297.24/x
  3. Step 3: Cross multiply
    6,422.46x = 8,852.40 × 4,297.24
  4. Step 4: Simplify right side
    6,422.46x = 38,040,836.56
  5. Step 5: Solve for x
    x = 38,040,836.56/6,422.46
  6. Step 6: Final answer
    x = 5,923.09

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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.