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Finding the Fourth Proportional to 8,954.92, 12,347.82 and 6,122.76

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Solution

The fourth proportional to 8,954.92, 12,347.82 and 6,122.76 is: 8,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.92 : 12,347.82 = 6,122.76 : x
  2. Step 2: Convert to fraction form
    8,954.92/12,347.82 = 6,122.76/x
  3. Step 3: Cross multiply
    8,954.92x = 12,347.82 × 6,122.76
  4. Step 4: Simplify right side
    8,954.92x = 75,602,738.38
  5. Step 5: Solve for x
    x = 75,602,738.38/8,954.92
  6. Step 6: Final answer
    x = 8,442.59

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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.