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Finding the Fourth Proportional to 9,414.84, 12,992.76 and 5,223

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Solution

The fourth proportional to 9,414.84, 12,992.76 and 5,223 is: 7,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.84 : 12,992.76 = 5,223 : x
  2. Step 2: Convert to fraction form
    9,414.84/12,992.76 = 5,223/x
  3. Step 3: Cross multiply
    9,414.84x = 12,992.76 × 5,223
  4. Step 4: Simplify right side
    9,414.84x = 67,861,185.48
  5. Step 5: Solve for x
    x = 67,861,185.48/9,414.84
  6. Step 6: Final answer
    x = 7,207.90

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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.