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Finding the Fourth Proportional to 9,198.02, 12,693.25 and 5,006.26

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Solution

The fourth proportional to 9,198.02, 12,693.25 and 5,006.26 is: 6,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.02 : 12,693.25 = 5,006.26 : x
  2. Step 2: Convert to fraction form
    9,198.02/12,693.25 = 5,006.26/x
  3. Step 3: Cross multiply
    9,198.02x = 12,693.25 × 5,006.26
  4. Step 4: Simplify right side
    9,198.02x = 63,545,709.75
  5. Step 5: Solve for x
    x = 63,545,709.75/9,198.02
  6. Step 6: Final answer
    x = 6,908.63

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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.