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Finding the Fourth Proportional to 8,262.44, 12,382.02 and 6,404.86

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Solution

The fourth proportional to 8,262.44, 12,382.02 and 6,404.86 is: 9,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.44 : 12,382.02 = 6,404.86 : x
  2. Step 2: Convert to fraction form
    8,262.44/12,382.02 = 6,404.86/x
  3. Step 3: Cross multiply
    8,262.44x = 12,382.02 × 6,404.86
  4. Step 4: Simplify right side
    8,262.44x = 79,305,104.62
  5. Step 5: Solve for x
    x = 79,305,104.62/8,262.44
  6. Step 6: Final answer
    x = 9,598.27

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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.