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Finding the Fourth Proportional to 9,414.10, 12,999.72 and 5,883.34

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Solution

The fourth proportional to 9,414.10, 12,999.72 and 5,883.34 is: 8,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.10 : 12,999.72 = 5,883.34 : x
  2. Step 2: Convert to fraction form
    9,414.10/12,999.72 = 5,883.34/x
  3. Step 3: Cross multiply
    9,414.10x = 12,999.72 × 5,883.34
  4. Step 4: Simplify right side
    9,414.10x = 76,481,772.66
  5. Step 5: Solve for x
    x = 76,481,772.66/9,414.10
  6. Step 6: Final answer
    x = 8,124.17

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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.