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Finding the Fourth Proportional to 9,974.42, 13,764.09 and 5,498.21

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Solution

The fourth proportional to 9,974.42, 13,764.09 and 5,498.21 is: 7,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.42 : 13,764.09 = 5,498.21 : x
  2. Step 2: Convert to fraction form
    9,974.42/13,764.09 = 5,498.21/x
  3. Step 3: Cross multiply
    9,974.42x = 13,764.09 × 5,498.21
  4. Step 4: Simplify right side
    9,974.42x = 75,677,865.92
  5. Step 5: Solve for x
    x = 75,677,865.92/9,974.42
  6. Step 6: Final answer
    x = 7,587.19

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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.