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Finding the Fourth Proportional to 6,380.64, 9,565.18 and 2,683.15

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Solution

The fourth proportional to 6,380.64, 9,565.18 and 2,683.15 is: 4,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.64 : 9,565.18 = 2,683.15 : x
  2. Step 2: Convert to fraction form
    6,380.64/9,565.18 = 2,683.15/x
  3. Step 3: Cross multiply
    6,380.64x = 9,565.18 × 2,683.15
  4. Step 4: Simplify right side
    6,380.64x = 25,664,812.72
  5. Step 5: Solve for x
    x = 25,664,812.72/6,380.64
  6. Step 6: Final answer
    x = 4,022.29

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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.