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Finding the Fourth Proportional to 9,462.08, 14,205.68 and 8,084.27

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Solution

The fourth proportional to 9,462.08, 14,205.68 and 8,084.27 is: 12,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.08 : 14,205.68 = 8,084.27 : x
  2. Step 2: Convert to fraction form
    9,462.08/14,205.68 = 8,084.27/x
  3. Step 3: Cross multiply
    9,462.08x = 14,205.68 × 8,084.27
  4. Step 4: Simplify right side
    9,462.08x = 114,842,578.06
  5. Step 5: Solve for x
    x = 114,842,578.06/9,462.08
  6. Step 6: Final answer
    x = 12,137.14

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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.