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Finding the Fourth Proportional to 6,114.14, 9,167.76 and 1,953.17

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Solution

The fourth proportional to 6,114.14, 9,167.76 and 1,953.17 is: 2,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.14 : 9,167.76 = 1,953.17 : x
  2. Step 2: Convert to fraction form
    6,114.14/9,167.76 = 1,953.17/x
  3. Step 3: Cross multiply
    6,114.14x = 9,167.76 × 1,953.17
  4. Step 4: Simplify right side
    6,114.14x = 17,906,198.68
  5. Step 5: Solve for x
    x = 17,906,198.68/6,114.14
  6. Step 6: Final answer
    x = 2,928.65

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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.