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Finding the Fourth Proportional to 6,234.84, 9,352.26 and 1,852.29

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Solution

The fourth proportional to 6,234.84, 9,352.26 and 1,852.29 is: 2,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.84 : 9,352.26 = 1,852.29 : x
  2. Step 2: Convert to fraction form
    6,234.84/9,352.26 = 1,852.29/x
  3. Step 3: Cross multiply
    6,234.84x = 9,352.26 × 1,852.29
  4. Step 4: Simplify right side
    6,234.84x = 17,323,097.68
  5. Step 5: Solve for x
    x = 17,323,097.68/6,234.84
  6. Step 6: Final answer
    x = 2,778.44

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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.