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Finding the Fourth Proportional to 6,234.49, 9,346.56 and 2,538.46

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Solution

The fourth proportional to 6,234.49, 9,346.56 and 2,538.46 is: 3,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.49 : 9,346.56 = 2,538.46 : x
  2. Step 2: Convert to fraction form
    6,234.49/9,346.56 = 2,538.46/x
  3. Step 3: Cross multiply
    6,234.49x = 9,346.56 × 2,538.46
  4. Step 4: Simplify right side
    6,234.49x = 23,725,868.70
  5. Step 5: Solve for x
    x = 23,725,868.70/6,234.49
  6. Step 6: Final answer
    x = 3,805.58

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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.