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Finding the Fourth Proportional to 6,960.80, 10,412.40 and 6,269.60

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Solution

The fourth proportional to 6,960.80, 10,412.40 and 6,269.60 is: 9,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.80 : 10,412.40 = 6,269.60 : x
  2. Step 2: Convert to fraction form
    6,960.80/10,412.40 = 6,269.60/x
  3. Step 3: Cross multiply
    6,960.80x = 10,412.40 × 6,269.60
  4. Step 4: Simplify right side
    6,960.80x = 65,281,583.04
  5. Step 5: Solve for x
    x = 65,281,583.04/6,960.80
  6. Step 6: Final answer
    x = 9,378.46

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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.