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Finding the Fourth Proportional to 9,833.43, 13,571.33 and 5,585.82

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Solution

The fourth proportional to 9,833.43, 13,571.33 and 5,585.82 is: 7,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.43 : 13,571.33 = 5,585.82 : x
  2. Step 2: Convert to fraction form
    9,833.43/13,571.33 = 5,585.82/x
  3. Step 3: Cross multiply
    9,833.43x = 13,571.33 × 5,585.82
  4. Step 4: Simplify right side
    9,833.43x = 75,807,006.54
  5. Step 5: Solve for x
    x = 75,807,006.54/9,833.43
  6. Step 6: Final answer
    x = 7,709.11

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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.