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Finding the Fourth Proportional to 6,416.80, 9,628.08 and 4,112.80

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Solution

The fourth proportional to 6,416.80, 9,628.08 and 4,112.80 is: 6,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.80 : 9,628.08 = 4,112.80 : x
  2. Step 2: Convert to fraction form
    6,416.80/9,628.08 = 4,112.80/x
  3. Step 3: Cross multiply
    6,416.80x = 9,628.08 × 4,112.80
  4. Step 4: Simplify right side
    6,416.80x = 39,598,367.42
  5. Step 5: Solve for x
    x = 39,598,367.42/6,416.80
  6. Step 6: Final answer
    x = 6,171.05

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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.