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Finding the Fourth Proportional to 6,874.54, 9,486.32 and 4,221.96

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Solution

The fourth proportional to 6,874.54, 9,486.32 and 4,221.96 is: 5,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.54 : 9,486.32 = 4,221.96 : x
  2. Step 2: Convert to fraction form
    6,874.54/9,486.32 = 4,221.96/x
  3. Step 3: Cross multiply
    6,874.54x = 9,486.32 × 4,221.96
  4. Step 4: Simplify right side
    6,874.54x = 40,050,806.90
  5. Step 5: Solve for x
    x = 40,050,806.90/6,874.54
  6. Step 6: Final answer
    x = 5,825.96

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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.