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Finding the Fourth Proportional to 6,412.90, 9,606.79 and 5,716.30

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Solution

The fourth proportional to 6,412.90, 9,606.79 and 5,716.30 is: 8,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.90 : 9,606.79 = 5,716.30 : x
  2. Step 2: Convert to fraction form
    6,412.90/9,606.79 = 5,716.30/x
  3. Step 3: Cross multiply
    6,412.90x = 9,606.79 × 5,716.30
  4. Step 4: Simplify right side
    6,412.90x = 54,915,293.68
  5. Step 5: Solve for x
    x = 54,915,293.68/6,412.90
  6. Step 6: Final answer
    x = 8,563.25

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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.