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Finding the Fourth Proportional to 9,553.84, 13,188.48 and 5,573.44

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Solution

The fourth proportional to 9,553.84, 13,188.48 and 5,573.44 is: 7,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.84 : 13,188.48 = 5,573.44 : x
  2. Step 2: Convert to fraction form
    9,553.84/13,188.48 = 5,573.44/x
  3. Step 3: Cross multiply
    9,553.84x = 13,188.48 × 5,573.44
  4. Step 4: Simplify right side
    9,553.84x = 73,505,201.97
  5. Step 5: Solve for x
    x = 73,505,201.97/9,553.84
  6. Step 6: Final answer
    x = 7,693.79

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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.