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Finding the Fourth Proportional to 6,241.82, 9,357.65 and 4,262.46

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Solution

The fourth proportional to 6,241.82, 9,357.65 and 4,262.46 is: 6,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.82 : 9,357.65 = 4,262.46 : x
  2. Step 2: Convert to fraction form
    6,241.82/9,357.65 = 4,262.46/x
  3. Step 3: Cross multiply
    6,241.82x = 9,357.65 × 4,262.46
  4. Step 4: Simplify right side
    6,241.82x = 39,886,562.03
  5. Step 5: Solve for x
    x = 39,886,562.03/6,241.82
  6. Step 6: Final answer
    x = 6,390.21

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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.