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Finding the Fourth Proportional to 9,309.92, 13,960.50 and 3,382.63

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Solution

The fourth proportional to 9,309.92, 13,960.50 and 3,382.63 is: 5,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.92 : 13,960.50 = 3,382.63 : x
  2. Step 2: Convert to fraction form
    9,309.92/13,960.50 = 3,382.63/x
  3. Step 3: Cross multiply
    9,309.92x = 13,960.50 × 3,382.63
  4. Step 4: Simplify right side
    9,309.92x = 47,223,210.88
  5. Step 5: Solve for x
    x = 47,223,210.88/9,309.92
  6. Step 6: Final answer
    x = 5,072.35

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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.