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Finding the Fourth Proportional to 9,414.90, 12,992.00 and 5,223.15

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Solution

The fourth proportional to 9,414.90, 12,992.00 and 5,223.15 is: 7,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.90 : 12,992.00 = 5,223.15 : x
  2. Step 2: Convert to fraction form
    9,414.90/12,992.00 = 5,223.15/x
  3. Step 3: Cross multiply
    9,414.90x = 12,992.00 × 5,223.15
  4. Step 4: Simplify right side
    9,414.90x = 67,859,138.68
  5. Step 5: Solve for x
    x = 67,859,138.68/9,414.90
  6. Step 6: Final answer
    x = 7,207.63

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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.