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Finding the Fourth Proportional to 6,568.68, 9,789.31 and 6,358.54

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Solution

The fourth proportional to 6,568.68, 9,789.31 and 6,358.54 is: 9,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.68 : 9,789.31 = 6,358.54 : x
  2. Step 2: Convert to fraction form
    6,568.68/9,789.31 = 6,358.54/x
  3. Step 3: Cross multiply
    6,568.68x = 9,789.31 × 6,358.54
  4. Step 4: Simplify right side
    6,568.68x = 62,245,719.21
  5. Step 5: Solve for x
    x = 62,245,719.21/6,568.68
  6. Step 6: Final answer
    x = 9,476.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.