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Finding the Fourth Proportional to 6,858.56, 9,464.78 and 3,714.73

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Solution

The fourth proportional to 6,858.56, 9,464.78 and 3,714.73 is: 5,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.56 : 9,464.78 = 3,714.73 : x
  2. Step 2: Convert to fraction form
    6,858.56/9,464.78 = 3,714.73/x
  3. Step 3: Cross multiply
    6,858.56x = 9,464.78 × 3,714.73
  4. Step 4: Simplify right side
    6,858.56x = 35,159,036.31
  5. Step 5: Solve for x
    x = 35,159,036.31/6,858.56
  6. Step 6: Final answer
    x = 5,126.30

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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.