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Finding the Fourth Proportional to 9,178.88, 12,663.84 and 5,198.56

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Solution

The fourth proportional to 9,178.88, 12,663.84 and 5,198.56 is: 7,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.88 : 12,663.84 = 5,198.56 : x
  2. Step 2: Convert to fraction form
    9,178.88/12,663.84 = 5,198.56/x
  3. Step 3: Cross multiply
    9,178.88x = 12,663.84 × 5,198.56
  4. Step 4: Simplify right side
    9,178.88x = 65,833,732.07
  5. Step 5: Solve for x
    x = 65,833,732.07/9,178.88
  6. Step 6: Final answer
    x = 7,172.31

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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.