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Finding the Fourth Proportional to 6,233.57, 9,342.56 and 3,114.45

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Solution

The fourth proportional to 6,233.57, 9,342.56 and 3,114.45 is: 4,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.57 : 9,342.56 = 3,114.45 : x
  2. Step 2: Convert to fraction form
    6,233.57/9,342.56 = 3,114.45/x
  3. Step 3: Cross multiply
    6,233.57x = 9,342.56 × 3,114.45
  4. Step 4: Simplify right side
    6,233.57x = 29,096,926.26
  5. Step 5: Solve for x
    x = 29,096,926.26/6,233.57
  6. Step 6: Final answer
    x = 4,667.78

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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.