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Finding the Fourth Proportional to 9,855.82, 14,784 and 3,281.77

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Solution

The fourth proportional to 9,855.82, 14,784 and 3,281.77 is: 4,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.82 : 14,784 = 3,281.77 : x
  2. Step 2: Convert to fraction form
    9,855.82/14,784 = 3,281.77/x
  3. Step 3: Cross multiply
    9,855.82x = 14,784 × 3,281.77
  4. Step 4: Simplify right side
    9,855.82x = 48,517,687.68
  5. Step 5: Solve for x
    x = 48,517,687.68/9,855.82
  6. Step 6: Final answer
    x = 4,922.74

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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.