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Finding the Fourth Proportional to 6,234.90, 9,330.75 and 5,976.60

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Solution

The fourth proportional to 6,234.90, 9,330.75 and 5,976.60 is: 8,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.90 : 9,330.75 = 5,976.60 : x
  2. Step 2: Convert to fraction form
    6,234.90/9,330.75 = 5,976.60/x
  3. Step 3: Cross multiply
    6,234.90x = 9,330.75 × 5,976.60
  4. Step 4: Simplify right side
    6,234.90x = 55,766,160.45
  5. Step 5: Solve for x
    x = 55,766,160.45/6,234.90
  6. Step 6: Final answer
    x = 8,944.19

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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.