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Finding the Fourth Proportional to 6,380.86, 9,505.48 and 6,187.42

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Solution

The fourth proportional to 6,380.86, 9,505.48 and 6,187.42 is: 9,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.86 : 9,505.48 = 6,187.42 : x
  2. Step 2: Convert to fraction form
    6,380.86/9,505.48 = 6,187.42/x
  3. Step 3: Cross multiply
    6,380.86x = 9,505.48 × 6,187.42
  4. Step 4: Simplify right side
    6,380.86x = 58,814,397.06
  5. Step 5: Solve for x
    x = 58,814,397.06/6,380.86
  6. Step 6: Final answer
    x = 9,217.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.