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Finding the Fourth Proportional to 34,414.73, 51,615.93 and 9,114.41

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Solution

The fourth proportional to 34,414.73, 51,615.93 and 9,114.41 is: 13,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.73 : 51,615.93 = 9,114.41 : x
  2. Step 2: Convert to fraction form
    34,414.73/51,615.93 = 9,114.41/x
  3. Step 3: Cross multiply
    34,414.73x = 51,615.93 × 9,114.41
  4. Step 4: Simplify right side
    34,414.73x = 470,448,911.77
  5. Step 5: Solve for x
    x = 470,448,911.77/34,414.73
  6. Step 6: Final answer
    x = 13,669.99

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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.