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Finding the Fourth Proportional to 34,433.26, 51,643.09 and 9,466.87

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Solution

The fourth proportional to 34,433.26, 51,643.09 and 9,466.87 is: 14,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,433.26 : 51,643.09 = 9,466.87 : x
  2. Step 2: Convert to fraction form
    34,433.26/51,643.09 = 9,466.87/x
  3. Step 3: Cross multiply
    34,433.26x = 51,643.09 × 9,466.87
  4. Step 4: Simplify right side
    34,433.26x = 488,898,419.43
  5. Step 5: Solve for x
    x = 488,898,419.43/34,433.26
  6. Step 6: Final answer
    x = 14,198.44

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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.