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Finding the Fourth Proportional to 6,195.84, 9,296.94 and 4,117.27

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Solution

The fourth proportional to 6,195.84, 9,296.94 and 4,117.27 is: 6,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.84 : 9,296.94 = 4,117.27 : x
  2. Step 2: Convert to fraction form
    6,195.84/9,296.94 = 4,117.27/x
  3. Step 3: Cross multiply
    6,195.84x = 9,296.94 × 4,117.27
  4. Step 4: Simplify right side
    6,195.84x = 38,278,012.15
  5. Step 5: Solve for x
    x = 38,278,012.15/6,195.84
  6. Step 6: Final answer
    x = 6,178.02

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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.