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Finding the Fourth Proportional to 9,704.41, 14,581.22 and 6,196.10

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Solution

The fourth proportional to 9,704.41, 14,581.22 and 6,196.10 is: 9,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.41 : 14,581.22 = 6,196.10 : x
  2. Step 2: Convert to fraction form
    9,704.41/14,581.22 = 6,196.10/x
  3. Step 3: Cross multiply
    9,704.41x = 14,581.22 × 6,196.10
  4. Step 4: Simplify right side
    9,704.41x = 90,346,593.36
  5. Step 5: Solve for x
    x = 90,346,593.36/9,704.41
  6. Step 6: Final answer
    x = 9,309.85

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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.