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Finding the Fourth Proportional to 34,414.12, 51,620.56 and 9,454.07

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Solution

The fourth proportional to 34,414.12, 51,620.56 and 9,454.07 is: 14,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.12 : 51,620.56 = 9,454.07 : x
  2. Step 2: Convert to fraction form
    34,414.12/51,620.56 = 9,454.07/x
  3. Step 3: Cross multiply
    34,414.12x = 51,620.56 × 9,454.07
  4. Step 4: Simplify right side
    34,414.12x = 488,024,387.68
  5. Step 5: Solve for x
    x = 488,024,387.68/34,414.12
  6. Step 6: Final answer
    x = 14,180.93

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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.