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Finding the Fourth Proportional to 34,296, 51,452.64 and 9,672

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Solution

The fourth proportional to 34,296, 51,452.64 and 9,672 is: 14,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,296 : 51,452.64 = 9,672 : x
  2. Step 2: Convert to fraction form
    34,296/51,452.64 = 9,672/x
  3. Step 3: Cross multiply
    34,296x = 51,452.64 × 9,672
  4. Step 4: Simplify right side
    34,296x = 497,649,934.08
  5. Step 5: Solve for x
    x = 497,649,934.08/34,296
  6. Step 6: Final answer
    x = 14,510.44

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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.