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Finding the Fourth Proportional to 6,297.08, 9,452.48 and 3,667.46

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Solution

The fourth proportional to 6,297.08, 9,452.48 and 3,667.46 is: 5,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.08 : 9,452.48 = 3,667.46 : x
  2. Step 2: Convert to fraction form
    6,297.08/9,452.48 = 3,667.46/x
  3. Step 3: Cross multiply
    6,297.08x = 9,452.48 × 3,667.46
  4. Step 4: Simplify right side
    6,297.08x = 34,666,526.70
  5. Step 5: Solve for x
    x = 34,666,526.70/6,297.08
  6. Step 6: Final answer
    x = 5,505.18

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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.