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Finding the Fourth Proportional to 6,234.52, 9,350.82 and 2,074.60

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Solution

The fourth proportional to 6,234.52, 9,350.82 and 2,074.60 is: 3,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.52 : 9,350.82 = 2,074.60 : x
  2. Step 2: Convert to fraction form
    6,234.52/9,350.82 = 2,074.60/x
  3. Step 3: Cross multiply
    6,234.52x = 9,350.82 × 2,074.60
  4. Step 4: Simplify right side
    6,234.52x = 19,399,211.17
  5. Step 5: Solve for x
    x = 19,399,211.17/6,234.52
  6. Step 6: Final answer
    x = 3,111.58

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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.