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Finding the Fourth Proportional to 6,546.78, 9,034.24 and 3,714.42

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Solution

The fourth proportional to 6,546.78, 9,034.24 and 3,714.42 is: 5,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.78 : 9,034.24 = 3,714.42 : x
  2. Step 2: Convert to fraction form
    6,546.78/9,034.24 = 3,714.42/x
  3. Step 3: Cross multiply
    6,546.78x = 9,034.24 × 3,714.42
  4. Step 4: Simplify right side
    6,546.78x = 33,556,961.74
  5. Step 5: Solve for x
    x = 33,556,961.74/6,546.78
  6. Step 6: Final answer
    x = 5,125.72

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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.