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Finding the Fourth Proportional to 6,152.92, 9,230.29 and 3,231.45

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Solution

The fourth proportional to 6,152.92, 9,230.29 and 3,231.45 is: 4,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.92 : 9,230.29 = 3,231.45 : x
  2. Step 2: Convert to fraction form
    6,152.92/9,230.29 = 3,231.45/x
  3. Step 3: Cross multiply
    6,152.92x = 9,230.29 × 3,231.45
  4. Step 4: Simplify right side
    6,152.92x = 29,827,212.54
  5. Step 5: Solve for x
    x = 29,827,212.54/6,152.92
  6. Step 6: Final answer
    x = 4,847.65

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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.