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Finding the Fourth Proportional to 6,228.42, 8,589.69 and 6,197.40

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Solution

The fourth proportional to 6,228.42, 8,589.69 and 6,197.40 is: 8,546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.42 : 8,589.69 = 6,197.40 : x
  2. Step 2: Convert to fraction form
    6,228.42/8,589.69 = 6,197.40/x
  3. Step 3: Cross multiply
    6,228.42x = 8,589.69 × 6,197.40
  4. Step 4: Simplify right side
    6,228.42x = 53,233,744.81
  5. Step 5: Solve for x
    x = 53,233,744.81/6,228.42
  6. Step 6: Final answer
    x = 8,546.91

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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.