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Finding the Fourth Proportional to 6,858.40, 10,287.60 and 6,109.60

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Solution

The fourth proportional to 6,858.40, 10,287.60 and 6,109.60 is: 9,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.40 : 10,287.60 = 6,109.60 : x
  2. Step 2: Convert to fraction form
    6,858.40/10,287.60 = 6,109.60/x
  3. Step 3: Cross multiply
    6,858.40x = 10,287.60 × 6,109.60
  4. Step 4: Simplify right side
    6,858.40x = 62,853,120.96
  5. Step 5: Solve for x
    x = 62,853,120.96/6,858.40
  6. Step 6: Final answer
    x = 9,164.40

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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.