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Finding the Fourth Proportional to 6,174.80, 9,266.52 and 2,714.48

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Solution

The fourth proportional to 6,174.80, 9,266.52 and 2,714.48 is: 4,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.80 : 9,266.52 = 2,714.48 : x
  2. Step 2: Convert to fraction form
    6,174.80/9,266.52 = 2,714.48/x
  3. Step 3: Cross multiply
    6,174.80x = 9,266.52 × 2,714.48
  4. Step 4: Simplify right side
    6,174.80x = 25,153,783.21
  5. Step 5: Solve for x
    x = 25,153,783.21/6,174.80
  6. Step 6: Final answer
    x = 4,073.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.