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Finding the Fourth Proportional to 6,169.14, 9,253.68 and 2,065.14

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Solution

The fourth proportional to 6,169.14, 9,253.68 and 2,065.14 is: 3,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.14 : 9,253.68 = 2,065.14 : x
  2. Step 2: Convert to fraction form
    6,169.14/9,253.68 = 2,065.14/x
  3. Step 3: Cross multiply
    6,169.14x = 9,253.68 × 2,065.14
  4. Step 4: Simplify right side
    6,169.14x = 19,110,144.72
  5. Step 5: Solve for x
    x = 19,110,144.72/6,169.14
  6. Step 6: Final answer
    x = 3,097.70

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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.