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Finding the Fourth Proportional to 7,161.30, 9,881.73 and 3,974.58

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Solution

The fourth proportional to 7,161.30, 9,881.73 and 3,974.58 is: 5,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.30 : 9,881.73 = 3,974.58 : x
  2. Step 2: Convert to fraction form
    7,161.30/9,881.73 = 3,974.58/x
  3. Step 3: Cross multiply
    7,161.30x = 9,881.73 × 3,974.58
  4. Step 4: Simplify right side
    7,161.30x = 39,275,726.42
  5. Step 5: Solve for x
    x = 39,275,726.42/7,161.30
  6. Step 6: Final answer
    x = 5,484.44

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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.