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Finding the Fourth Proportional to 6,166.12, 9,223.26 and 5,310.76

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Solution

The fourth proportional to 6,166.12, 9,223.26 and 5,310.76 is: 7,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.12 : 9,223.26 = 5,310.76 : x
  2. Step 2: Convert to fraction form
    6,166.12/9,223.26 = 5,310.76/x
  3. Step 3: Cross multiply
    6,166.12x = 9,223.26 × 5,310.76
  4. Step 4: Simplify right side
    6,166.12x = 48,982,520.28
  5. Step 5: Solve for x
    x = 48,982,520.28/6,166.12
  6. Step 6: Final answer
    x = 7,943.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.