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Finding the Fourth Proportional to 9,382.26, 12,947.54 and 5,133.23

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Solution

The fourth proportional to 9,382.26, 12,947.54 and 5,133.23 is: 7,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.26 : 12,947.54 = 5,133.23 : x
  2. Step 2: Convert to fraction form
    9,382.26/12,947.54 = 5,133.23/x
  3. Step 3: Cross multiply
    9,382.26x = 12,947.54 × 5,133.23
  4. Step 4: Simplify right side
    9,382.26x = 66,462,648.85
  5. Step 5: Solve for x
    x = 66,462,648.85/9,382.26
  6. Step 6: Final answer
    x = 7,083.86

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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.