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Finding the Fourth Proportional to 8,262.52, 12,382.14 and 6,404.94

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Solution

The fourth proportional to 8,262.52, 12,382.14 and 6,404.94 is: 9,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.52 : 12,382.14 = 6,404.94 : x
  2. Step 2: Convert to fraction form
    8,262.52/12,382.14 = 6,404.94/x
  3. Step 3: Cross multiply
    8,262.52x = 12,382.14 × 6,404.94
  4. Step 4: Simplify right side
    8,262.52x = 79,306,863.77
  5. Step 5: Solve for x
    x = 79,306,863.77/8,262.52
  6. Step 6: Final answer
    x = 9,598.39

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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.