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Finding the Fourth Proportional to 6,461.35, 9,679.66 and 4,371.09

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Solution

The fourth proportional to 6,461.35, 9,679.66 and 4,371.09 is: 6,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.35 : 9,679.66 = 4,371.09 : x
  2. Step 2: Convert to fraction form
    6,461.35/9,679.66 = 4,371.09/x
  3. Step 3: Cross multiply
    6,461.35x = 9,679.66 × 4,371.09
  4. Step 4: Simplify right side
    6,461.35x = 42,310,665.03
  5. Step 5: Solve for x
    x = 42,310,665.03/6,461.35
  6. Step 6: Final answer
    x = 6,548.27

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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.