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Finding the Fourth Proportional to 9,855.48, 14,773.82 and 3,277.07

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Solution

The fourth proportional to 9,855.48, 14,773.82 and 3,277.07 is: 4,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.48 : 14,773.82 = 3,277.07 : x
  2. Step 2: Convert to fraction form
    9,855.48/14,773.82 = 3,277.07/x
  3. Step 3: Cross multiply
    9,855.48x = 14,773.82 × 3,277.07
  4. Step 4: Simplify right side
    9,855.48x = 48,414,752.05
  5. Step 5: Solve for x
    x = 48,414,752.05/9,855.48
  6. Step 6: Final answer
    x = 4,912.47

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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.