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Finding the Fourth Proportional to 34,096, 51,144.64 and 9,472.64

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Solution

The fourth proportional to 34,096, 51,144.64 and 9,472.64 is: 14,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,096 : 51,144.64 = 9,472.64 : x
  2. Step 2: Convert to fraction form
    34,096/51,144.64 = 9,472.64/x
  3. Step 3: Cross multiply
    34,096x = 51,144.64 × 9,472.64
  4. Step 4: Simplify right side
    34,096x = 484,474,762.65
  5. Step 5: Solve for x
    x = 484,474,762.65/34,096
  6. Step 6: Final answer
    x = 14,209.14

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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.