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Finding the Fourth Proportional to 34,434.25, 51,651.34 and 9,474.44

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Solution

The fourth proportional to 34,434.25, 51,651.34 and 9,474.44 is: 14,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434.25 : 51,651.34 = 9,474.44 : x
  2. Step 2: Convert to fraction form
    34,434.25/51,651.34 = 9,474.44/x
  3. Step 3: Cross multiply
    34,434.25x = 51,651.34 × 9,474.44
  4. Step 4: Simplify right side
    34,434.25x = 489,367,239.81
  5. Step 5: Solve for x
    x = 489,367,239.81/34,434.25
  6. Step 6: Final answer
    x = 14,211.64

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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.