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Finding the Fourth Proportional to 6,415.76, 9,609.60 and 3,812.96

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Solution

The fourth proportional to 6,415.76, 9,609.60 and 3,812.96 is: 5,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.76 : 9,609.60 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    6,415.76/9,609.60 = 3,812.96/x
  3. Step 3: Cross multiply
    6,415.76x = 9,609.60 × 3,812.96
  4. Step 4: Simplify right side
    6,415.76x = 36,641,020.42
  5. Step 5: Solve for x
    x = 36,641,020.42/6,415.76
  6. Step 6: Final answer
    x = 5,711.10

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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.