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Finding the Fourth Proportional to 9,382.88, 12,948.36 and 5,133.97

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Solution

The fourth proportional to 9,382.88, 12,948.36 and 5,133.97 is: 7,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.88 : 12,948.36 = 5,133.97 : x
  2. Step 2: Convert to fraction form
    9,382.88/12,948.36 = 5,133.97/x
  3. Step 3: Cross multiply
    9,382.88x = 12,948.36 × 5,133.97
  4. Step 4: Simplify right side
    9,382.88x = 66,476,451.99
  5. Step 5: Solve for x
    x = 66,476,451.99/9,382.88
  6. Step 6: Final answer
    x = 7,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.