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Finding the Fourth Proportional to 9,502.82, 14,246.54 and 3,960.33

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Solution

The fourth proportional to 9,502.82, 14,246.54 and 3,960.33 is: 5,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.82 : 14,246.54 = 3,960.33 : x
  2. Step 2: Convert to fraction form
    9,502.82/14,246.54 = 3,960.33/x
  3. Step 3: Cross multiply
    9,502.82x = 14,246.54 × 3,960.33
  4. Step 4: Simplify right side
    9,502.82x = 56,420,999.76
  5. Step 5: Solve for x
    x = 56,420,999.76/9,502.82
  6. Step 6: Final answer
    x = 5,937.29

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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.