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Finding the Fourth Proportional to 6,811.21, 9,401.07 and 4,160.85

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Solution

The fourth proportional to 6,811.21, 9,401.07 and 4,160.85 is: 5,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.21 : 9,401.07 = 4,160.85 : x
  2. Step 2: Convert to fraction form
    6,811.21/9,401.07 = 4,160.85/x
  3. Step 3: Cross multiply
    6,811.21x = 9,401.07 × 4,160.85
  4. Step 4: Simplify right side
    6,811.21x = 39,116,442.11
  5. Step 5: Solve for x
    x = 39,116,442.11/6,811.21
  6. Step 6: Final answer
    x = 5,742.95

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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.