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Finding the Fourth Proportional to 9,195.66, 12,689.64 and 5,216.69

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Solution

The fourth proportional to 9,195.66, 12,689.64 and 5,216.69 is: 7,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.66 : 12,689.64 = 5,216.69 : x
  2. Step 2: Convert to fraction form
    9,195.66/12,689.64 = 5,216.69/x
  3. Step 3: Cross multiply
    9,195.66x = 12,689.64 × 5,216.69
  4. Step 4: Simplify right side
    9,195.66x = 66,197,949.82
  5. Step 5: Solve for x
    x = 66,197,949.82/9,195.66
  6. Step 6: Final answer
    x = 7,198.83

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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.