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Finding the Fourth Proportional to 34,505.97, 51,756.06 and 9,546.33

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Solution

The fourth proportional to 34,505.97, 51,756.06 and 9,546.33 is: 14,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,505.97 : 51,756.06 = 9,546.33 : x
  2. Step 2: Convert to fraction form
    34,505.97/51,756.06 = 9,546.33/x
  3. Step 3: Cross multiply
    34,505.97x = 51,756.06 × 9,546.33
  4. Step 4: Simplify right side
    34,505.97x = 494,080,428.26
  5. Step 5: Solve for x
    x = 494,080,428.26/34,505.97
  6. Step 6: Final answer
    x = 14,318.69

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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.