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Finding the Fourth Proportional to 9,198.17, 12,693.74 and 6,514.19

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Solution

The fourth proportional to 9,198.17, 12,693.74 and 6,514.19 is: 8,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.17 : 12,693.74 = 6,514.19 : x
  2. Step 2: Convert to fraction form
    9,198.17/12,693.74 = 6,514.19/x
  3. Step 3: Cross multiply
    9,198.17x = 12,693.74 × 6,514.19
  4. Step 4: Simplify right side
    9,198.17x = 82,689,418.72
  5. Step 5: Solve for x
    x = 82,689,418.72/9,198.17
  6. Step 6: Final answer
    x = 8,989.77

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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.