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Finding the Fourth Proportional to 6,234.85, 9,356.33 and 3,315.20

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Solution

The fourth proportional to 6,234.85, 9,356.33 and 3,315.20 is: 4,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.85 : 9,356.33 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    6,234.85/9,356.33 = 3,315.20/x
  3. Step 3: Cross multiply
    6,234.85x = 9,356.33 × 3,315.20
  4. Step 4: Simplify right side
    6,234.85x = 31,018,105.22
  5. Step 5: Solve for x
    x = 31,018,105.22/6,234.85
  6. Step 6: Final answer
    x = 4,974.96

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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.