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Finding the Fourth Proportional to 6,195.17, 9,287.14 and 2,296.84

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Solution

The fourth proportional to 6,195.17, 9,287.14 and 2,296.84 is: 3,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.17 : 9,287.14 = 2,296.84 : x
  2. Step 2: Convert to fraction form
    6,195.17/9,287.14 = 2,296.84/x
  3. Step 3: Cross multiply
    6,195.17x = 9,287.14 × 2,296.84
  4. Step 4: Simplify right side
    6,195.17x = 21,331,074.64
  5. Step 5: Solve for x
    x = 21,331,074.64/6,195.17
  6. Step 6: Final answer
    x = 3,443.18

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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.