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Finding the Fourth Proportional to 6,065.41, 9,097.75 and 3,568

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Solution

The fourth proportional to 6,065.41, 9,097.75 and 3,568 is: 5,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.41 : 9,097.75 = 3,568 : x
  2. Step 2: Convert to fraction form
    6,065.41/9,097.75 = 3,568/x
  3. Step 3: Cross multiply
    6,065.41x = 9,097.75 × 3,568
  4. Step 4: Simplify right side
    6,065.41x = 32,460,772
  5. Step 5: Solve for x
    x = 32,460,772/6,065.41
  6. Step 6: Final answer
    x = 5,351.79

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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.