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Finding the Fourth Proportional to 6,371.49, 9,546.45 and 3,901.15

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Solution

The fourth proportional to 6,371.49, 9,546.45 and 3,901.15 is: 5,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.49 : 9,546.45 = 3,901.15 : x
  2. Step 2: Convert to fraction form
    6,371.49/9,546.45 = 3,901.15/x
  3. Step 3: Cross multiply
    6,371.49x = 9,546.45 × 3,901.15
  4. Step 4: Simplify right side
    6,371.49x = 37,242,145.35
  5. Step 5: Solve for x
    x = 37,242,145.35/6,371.49
  6. Step 6: Final answer
    x = 5,845.12

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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.