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Finding the Fourth Proportional to 9,553.52, 13,184.04 and 5,575.76

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Solution

The fourth proportional to 9,553.52, 13,184.04 and 5,575.76 is: 7,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.52 : 13,184.04 = 5,575.76 : x
  2. Step 2: Convert to fraction form
    9,553.52/13,184.04 = 5,575.76/x
  3. Step 3: Cross multiply
    9,553.52x = 13,184.04 × 5,575.76
  4. Step 4: Simplify right side
    9,553.52x = 73,511,042.87
  5. Step 5: Solve for x
    x = 73,511,042.87/9,553.52
  6. Step 6: Final answer
    x = 7,694.66

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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.