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Finding the Fourth Proportional to 9,382.50, 12,947.97 and 5,190.66

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Solution

The fourth proportional to 9,382.50, 12,947.97 and 5,190.66 is: 7,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.50 : 12,947.97 = 5,190.66 : x
  2. Step 2: Convert to fraction form
    9,382.50/12,947.97 = 5,190.66/x
  3. Step 3: Cross multiply
    9,382.50x = 12,947.97 × 5,190.66
  4. Step 4: Simplify right side
    9,382.50x = 67,208,509.96
  5. Step 5: Solve for x
    x = 67,208,509.96/9,382.50
  6. Step 6: Final answer
    x = 7,163.18

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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.