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Finding the Fourth Proportional to 6,894.14, 9,520.65 and 5,893.61

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Solution

The fourth proportional to 6,894.14, 9,520.65 and 5,893.61 is: 8,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.14 : 9,520.65 = 5,893.61 : x
  2. Step 2: Convert to fraction form
    6,894.14/9,520.65 = 5,893.61/x
  3. Step 3: Cross multiply
    6,894.14x = 9,520.65 × 5,893.61
  4. Step 4: Simplify right side
    6,894.14x = 56,110,998.05
  5. Step 5: Solve for x
    x = 56,110,998.05/6,894.14
  6. Step 6: Final answer
    x = 8,138.94

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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.