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Finding the Fourth Proportional to 9,714.38, 14,576.18 and 4,169.31

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Solution

The fourth proportional to 9,714.38, 14,576.18 and 4,169.31 is: 6,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.38 : 14,576.18 = 4,169.31 : x
  2. Step 2: Convert to fraction form
    9,714.38/14,576.18 = 4,169.31/x
  3. Step 3: Cross multiply
    9,714.38x = 14,576.18 × 4,169.31
  4. Step 4: Simplify right side
    9,714.38x = 60,772,537.53
  5. Step 5: Solve for x
    x = 60,772,537.53/9,714.38
  6. Step 6: Final answer
    x = 6,255.94

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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.