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Finding the Fourth Proportional to 6,466.12, 9,701.46 and 3,998.08

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Solution

The fourth proportional to 6,466.12, 9,701.46 and 3,998.08 is: 5,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.12 : 9,701.46 = 3,998.08 : x
  2. Step 2: Convert to fraction form
    6,466.12/9,701.46 = 3,998.08/x
  3. Step 3: Cross multiply
    6,466.12x = 9,701.46 × 3,998.08
  4. Step 4: Simplify right side
    6,466.12x = 38,787,213.20
  5. Step 5: Solve for x
    x = 38,787,213.20/6,466.12
  6. Step 6: Final answer
    x = 5,998.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.