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Finding the Fourth Proportional to 6,242.99, 9,346.96 and 3,421.54

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Solution

The fourth proportional to 6,242.99, 9,346.96 and 3,421.54 is: 5,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.99 : 9,346.96 = 3,421.54 : x
  2. Step 2: Convert to fraction form
    6,242.99/9,346.96 = 3,421.54/x
  3. Step 3: Cross multiply
    6,242.99x = 9,346.96 × 3,421.54
  4. Step 4: Simplify right side
    6,242.99x = 31,981,013.48
  5. Step 5: Solve for x
    x = 31,981,013.48/6,242.99
  6. Step 6: Final answer
    x = 5,122.71

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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.