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Finding the Fourth Proportional to 9,299.70, 12,833.67 and 5,107.95

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Solution

The fourth proportional to 9,299.70, 12,833.67 and 5,107.95 is: 7,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.70 : 12,833.67 = 5,107.95 : x
  2. Step 2: Convert to fraction form
    9,299.70/12,833.67 = 5,107.95/x
  3. Step 3: Cross multiply
    9,299.70x = 12,833.67 × 5,107.95
  4. Step 4: Simplify right side
    9,299.70x = 65,553,744.68
  5. Step 5: Solve for x
    x = 65,553,744.68/9,299.70
  6. Step 6: Final answer
    x = 7,049.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.