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Finding the Fourth Proportional to 6,103.76, 8,423.20 and 3,309.24

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Solution

The fourth proportional to 6,103.76, 8,423.20 and 3,309.24 is: 4,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.76 : 8,423.20 = 3,309.24 : x
  2. Step 2: Convert to fraction form
    6,103.76/8,423.20 = 3,309.24/x
  3. Step 3: Cross multiply
    6,103.76x = 8,423.20 × 3,309.24
  4. Step 4: Simplify right side
    6,103.76x = 27,874,390.37
  5. Step 5: Solve for x
    x = 27,874,390.37/6,103.76
  6. Step 6: Final answer
    x = 4,566.76

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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.