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Finding the Fourth Proportional to 9,241.40, 12,753.19 and 5,208.30

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Solution

The fourth proportional to 9,241.40, 12,753.19 and 5,208.30 is: 7,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.40 : 12,753.19 = 5,208.30 : x
  2. Step 2: Convert to fraction form
    9,241.40/12,753.19 = 5,208.30/x
  3. Step 3: Cross multiply
    9,241.40x = 12,753.19 × 5,208.30
  4. Step 4: Simplify right side
    9,241.40x = 66,422,377.54
  5. Step 5: Solve for x
    x = 66,422,377.54/9,241.40
  6. Step 6: Final answer
    x = 7,187.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.