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Finding the Fourth Proportional to 9,584.33, 13,228.28 and 5,551.82

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Solution

The fourth proportional to 9,584.33, 13,228.28 and 5,551.82 is: 7,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.33 : 13,228.28 = 5,551.82 : x
  2. Step 2: Convert to fraction form
    9,584.33/13,228.28 = 5,551.82/x
  3. Step 3: Cross multiply
    9,584.33x = 13,228.28 × 5,551.82
  4. Step 4: Simplify right side
    9,584.33x = 73,441,029.47
  5. Step 5: Solve for x
    x = 73,441,029.47/9,584.33
  6. Step 6: Final answer
    x = 7,662.61

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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.