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Finding the Fourth Proportional to 9,166.23, 12,649.38 and 4,974.48

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Solution

The fourth proportional to 9,166.23, 12,649.38 and 4,974.48 is: 6,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.23 : 12,649.38 = 4,974.48 : x
  2. Step 2: Convert to fraction form
    9,166.23/12,649.38 = 4,974.48/x
  3. Step 3: Cross multiply
    9,166.23x = 12,649.38 × 4,974.48
  4. Step 4: Simplify right side
    9,166.23x = 62,924,087.82
  5. Step 5: Solve for x
    x = 62,924,087.82/9,166.23
  6. Step 6: Final answer
    x = 6,864.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.