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Finding the Fourth Proportional to 6,234.68, 9,355.05 and 2,539.46

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Solution

The fourth proportional to 6,234.68, 9,355.05 and 2,539.46 is: 3,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.68 : 9,355.05 = 2,539.46 : x
  2. Step 2: Convert to fraction form
    6,234.68/9,355.05 = 2,539.46/x
  3. Step 3: Cross multiply
    6,234.68x = 9,355.05 × 2,539.46
  4. Step 4: Simplify right side
    6,234.68x = 23,756,728.50
  5. Step 5: Solve for x
    x = 23,756,728.50/6,234.68
  6. Step 6: Final answer
    x = 3,810.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.