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Finding the Fourth Proportional to 6,414.80, 9,629.40 and 4,960.40

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Solution

The fourth proportional to 6,414.80, 9,629.40 and 4,960.40 is: 7,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.80 : 9,629.40 = 4,960.40 : x
  2. Step 2: Convert to fraction form
    6,414.80/9,629.40 = 4,960.40/x
  3. Step 3: Cross multiply
    6,414.80x = 9,629.40 × 4,960.40
  4. Step 4: Simplify right side
    6,414.80x = 47,765,675.76
  5. Step 5: Solve for x
    x = 47,765,675.76/6,414.80
  6. Step 6: Final answer
    x = 7,446.17

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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.