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Finding the Fourth Proportional to 9,414.83, 12,992.58 and 5,880.11

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Solution

The fourth proportional to 9,414.83, 12,992.58 and 5,880.11 is: 8,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.83 : 12,992.58 = 5,880.11 : x
  2. Step 2: Convert to fraction form
    9,414.83/12,992.58 = 5,880.11/x
  3. Step 3: Cross multiply
    9,414.83x = 12,992.58 × 5,880.11
  4. Step 4: Simplify right side
    9,414.83x = 76,397,734.62
  5. Step 5: Solve for x
    x = 76,397,734.62/9,414.83
  6. Step 6: Final answer
    x = 8,114.61

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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.