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Finding the Fourth Proportional to 6,714.72, 9,266.58 and 4,475.10

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Solution

The fourth proportional to 6,714.72, 9,266.58 and 4,475.10 is: 6,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.72 : 9,266.58 = 4,475.10 : x
  2. Step 2: Convert to fraction form
    6,714.72/9,266.58 = 4,475.10/x
  3. Step 3: Cross multiply
    6,714.72x = 9,266.58 × 4,475.10
  4. Step 4: Simplify right side
    6,714.72x = 41,468,872.16
  5. Step 5: Solve for x
    x = 41,468,872.16/6,714.72
  6. Step 6: Final answer
    x = 6,175.82

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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.