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Finding the Fourth Proportional to 6,817.69, 9,408.28 and 4,165.10

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Solution

The fourth proportional to 6,817.69, 9,408.28 and 4,165.10 is: 5,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.69 : 9,408.28 = 4,165.10 : x
  2. Step 2: Convert to fraction form
    6,817.69/9,408.28 = 4,165.10/x
  3. Step 3: Cross multiply
    6,817.69x = 9,408.28 × 4,165.10
  4. Step 4: Simplify right side
    6,817.69x = 39,186,427.03
  5. Step 5: Solve for x
    x = 39,186,427.03/6,817.69
  6. Step 6: Final answer
    x = 5,747.76

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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.