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Finding the Fourth Proportional to 6,714.33, 9,269.13 and 4,197.84

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Solution

The fourth proportional to 6,714.33, 9,269.13 and 4,197.84 is: 5,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.33 : 9,269.13 = 4,197.84 : x
  2. Step 2: Convert to fraction form
    6,714.33/9,269.13 = 4,197.84/x
  3. Step 3: Cross multiply
    6,714.33x = 9,269.13 × 4,197.84
  4. Step 4: Simplify right side
    6,714.33x = 38,910,324.68
  5. Step 5: Solve for x
    x = 38,910,324.68/6,714.33
  6. Step 6: Final answer
    x = 5,795.12

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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.