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Finding the Fourth Proportional to 9,143.43, 13,712.31 and 3,299.28

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Solution

The fourth proportional to 9,143.43, 13,712.31 and 3,299.28 is: 4,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.43 : 13,712.31 = 3,299.28 : x
  2. Step 2: Convert to fraction form
    9,143.43/13,712.31 = 3,299.28/x
  3. Step 3: Cross multiply
    9,143.43x = 13,712.31 × 3,299.28
  4. Step 4: Simplify right side
    9,143.43x = 45,240,750.14
  5. Step 5: Solve for x
    x = 45,240,750.14/9,143.43
  6. Step 6: Final answer
    x = 4,947.90

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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.