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Finding the Fourth Proportional to 6,380.24, 9,575.82 and 4,879.71

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Solution

The fourth proportional to 6,380.24, 9,575.82 and 4,879.71 is: 7,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.24 : 9,575.82 = 4,879.71 : x
  2. Step 2: Convert to fraction form
    6,380.24/9,575.82 = 4,879.71/x
  3. Step 3: Cross multiply
    6,380.24x = 9,575.82 × 4,879.71
  4. Step 4: Simplify right side
    6,380.24x = 46,727,224.61
  5. Step 5: Solve for x
    x = 46,727,224.61/6,380.24
  6. Step 6: Final answer
    x = 7,323.75

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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.