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Finding the Fourth Proportional to 9,198.72, 12,697.92 and 5,472

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Solution

The fourth proportional to 9,198.72, 12,697.92 and 5,472 is: 7,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 12,697.92 = 5,472 : x
  2. Step 2: Convert to fraction form
    9,198.72/12,697.92 = 5,472/x
  3. Step 3: Cross multiply
    9,198.72x = 12,697.92 × 5,472
  4. Step 4: Simplify right side
    9,198.72x = 69,483,018.24
  5. Step 5: Solve for x
    x = 69,483,018.24/9,198.72
  6. Step 6: Final answer
    x = 7,553.55

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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.