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Finding the Fourth Proportional to 6,324.12, 8,731.35 and 4,089.42

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Solution

The fourth proportional to 6,324.12, 8,731.35 and 4,089.42 is: 5,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.12 : 8,731.35 = 4,089.42 : x
  2. Step 2: Convert to fraction form
    6,324.12/8,731.35 = 4,089.42/x
  3. Step 3: Cross multiply
    6,324.12x = 8,731.35 × 4,089.42
  4. Step 4: Simplify right side
    6,324.12x = 35,706,157.32
  5. Step 5: Solve for x
    x = 35,706,157.32/6,324.12
  6. Step 6: Final answer
    x = 5,646.03

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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.