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Finding the Fourth Proportional to 9,130.82, 13,696.22 and 2,974.82

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Solution

The fourth proportional to 9,130.82, 13,696.22 and 2,974.82 is: 4,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.82 : 13,696.22 = 2,974.82 : x
  2. Step 2: Convert to fraction form
    9,130.82/13,696.22 = 2,974.82/x
  3. Step 3: Cross multiply
    9,130.82x = 13,696.22 × 2,974.82
  4. Step 4: Simplify right side
    9,130.82x = 40,743,789.18
  5. Step 5: Solve for x
    x = 40,743,789.18/9,130.82
  6. Step 6: Final answer
    x = 4,462.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.