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Finding the Fourth Proportional to 6,105.06, 8,423.84 and 3,714.39

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Solution

The fourth proportional to 6,105.06, 8,423.84 and 3,714.39 is: 5,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.06 : 8,423.84 = 3,714.39 : x
  2. Step 2: Convert to fraction form
    6,105.06/8,423.84 = 3,714.39/x
  3. Step 3: Cross multiply
    6,105.06x = 8,423.84 × 3,714.39
  4. Step 4: Simplify right side
    6,105.06x = 31,289,408.49
  5. Step 5: Solve for x
    x = 31,289,408.49/6,105.06
  6. Step 6: Final answer
    x = 5,125.16

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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.