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Finding the Fourth Proportional to 9,906.84, 14,857.88 and 2,884.95

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Solution

The fourth proportional to 9,906.84, 14,857.88 and 2,884.95 is: 4,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.84 : 14,857.88 = 2,884.95 : x
  2. Step 2: Convert to fraction form
    9,906.84/14,857.88 = 2,884.95/x
  3. Step 3: Cross multiply
    9,906.84x = 14,857.88 × 2,884.95
  4. Step 4: Simplify right side
    9,906.84x = 42,864,226.48
  5. Step 5: Solve for x
    x = 42,864,226.48/9,906.84
  6. Step 6: Final answer
    x = 4,326.73

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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.