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Finding the Fourth Proportional to 6,422.37, 8,852.27 and 4,297.14

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Solution

The fourth proportional to 6,422.37, 8,852.27 and 4,297.14 is: 5,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.37 : 8,852.27 = 4,297.14 : x
  2. Step 2: Convert to fraction form
    6,422.37/8,852.27 = 4,297.14/x
  3. Step 3: Cross multiply
    6,422.37x = 8,852.27 × 4,297.14
  4. Step 4: Simplify right side
    6,422.37x = 38,039,454.25
  5. Step 5: Solve for x
    x = 38,039,454.25/6,422.37
  6. Step 6: Final answer
    x = 5,922.96

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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.