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Finding the Fourth Proportional to 6,381.40, 9,578.18 and 3,921.03

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Solution

The fourth proportional to 6,381.40, 9,578.18 and 3,921.03 is: 5,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.40 : 9,578.18 = 3,921.03 : x
  2. Step 2: Convert to fraction form
    6,381.40/9,578.18 = 3,921.03/x
  3. Step 3: Cross multiply
    6,381.40x = 9,578.18 × 3,921.03
  4. Step 4: Simplify right side
    6,381.40x = 37,556,331.13
  5. Step 5: Solve for x
    x = 37,556,331.13/6,381.40
  6. Step 6: Final answer
    x = 5,885.28

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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.