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Finding the Fourth Proportional to 9,305.70, 13,960.35 and 2,732.10

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Solution

The fourth proportional to 9,305.70, 13,960.35 and 2,732.10 is: 4,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.70 : 13,960.35 = 2,732.10 : x
  2. Step 2: Convert to fraction form
    9,305.70/13,960.35 = 2,732.10/x
  3. Step 3: Cross multiply
    9,305.70x = 13,960.35 × 2,732.10
  4. Step 4: Simplify right side
    9,305.70x = 38,141,072.24
  5. Step 5: Solve for x
    x = 38,141,072.24/9,305.70
  6. Step 6: Final answer
    x = 4,098.68

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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.