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Finding the Fourth Proportional to 9,156.73, 13,735.09 and 3,311.97

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Solution

The fourth proportional to 9,156.73, 13,735.09 and 3,311.97 is: 4,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.73 : 13,735.09 = 3,311.97 : x
  2. Step 2: Convert to fraction form
    9,156.73/13,735.09 = 3,311.97/x
  3. Step 3: Cross multiply
    9,156.73x = 13,735.09 × 3,311.97
  4. Step 4: Simplify right side
    9,156.73x = 45,490,206.03
  5. Step 5: Solve for x
    x = 45,490,206.03/9,156.73
  6. Step 6: Final answer
    x = 4,967.95

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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.