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Finding the Fourth Proportional to 6,714.70, 9,266.23 and 4,062.08

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Solution

The fourth proportional to 6,714.70, 9,266.23 and 4,062.08 is: 5,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.70 : 9,266.23 = 4,062.08 : x
  2. Step 2: Convert to fraction form
    6,714.70/9,266.23 = 4,062.08/x
  3. Step 3: Cross multiply
    6,714.70x = 9,266.23 × 4,062.08
  4. Step 4: Simplify right side
    6,714.70x = 37,640,195.80
  5. Step 5: Solve for x
    x = 37,640,195.80/6,714.70
  6. Step 6: Final answer
    x = 5,605.64

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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.