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Finding the Fourth Proportional to 8,262.45, 12,382.02 and 6,404.87

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Solution

The fourth proportional to 8,262.45, 12,382.02 and 6,404.87 is: 9,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.45 : 12,382.02 = 6,404.87 : x
  2. Step 2: Convert to fraction form
    8,262.45/12,382.02 = 6,404.87/x
  3. Step 3: Cross multiply
    8,262.45x = 12,382.02 × 6,404.87
  4. Step 4: Simplify right side
    8,262.45x = 79,305,166.53
  5. Step 5: Solve for x
    x = 79,305,166.53/8,262.45
  6. Step 6: Final answer
    x = 9,598.26

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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.