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Finding the Fourth Proportional to 6,827.29, 9,421.11 and 3,994.52

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Solution

The fourth proportional to 6,827.29, 9,421.11 and 3,994.52 is: 5,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.29 : 9,421.11 = 3,994.52 : x
  2. Step 2: Convert to fraction form
    6,827.29/9,421.11 = 3,994.52/x
  3. Step 3: Cross multiply
    6,827.29x = 9,421.11 × 3,994.52
  4. Step 4: Simplify right side
    6,827.29x = 37,632,765.21
  5. Step 5: Solve for x
    x = 37,632,765.21/6,827.29
  6. Step 6: Final answer
    x = 5,512.11

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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.