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Finding the Fourth Proportional to 6,184.56, 9,265.68 and 4,099.62

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Solution

The fourth proportional to 6,184.56, 9,265.68 and 4,099.62 is: 6,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.56 : 9,265.68 = 4,099.62 : x
  2. Step 2: Convert to fraction form
    6,184.56/9,265.68 = 4,099.62/x
  3. Step 3: Cross multiply
    6,184.56x = 9,265.68 × 4,099.62
  4. Step 4: Simplify right side
    6,184.56x = 37,985,767.04
  5. Step 5: Solve for x
    x = 37,985,767.04/6,184.56
  6. Step 6: Final answer
    x = 6,142.03

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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.