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Finding the Fourth Proportional to 9,505, 13,122.66 and 6,198.76

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Solution

The fourth proportional to 9,505, 13,122.66 and 6,198.76 is: 8,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505 : 13,122.66 = 6,198.76 : x
  2. Step 2: Convert to fraction form
    9,505/13,122.66 = 6,198.76/x
  3. Step 3: Cross multiply
    9,505x = 13,122.66 × 6,198.76
  4. Step 4: Simplify right side
    9,505x = 81,344,219.90
  5. Step 5: Solve for x
    x = 81,344,219.90/9,505
  6. Step 6: Final answer
    x = 8,558.05

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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.