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Finding the Fourth Proportional to 9,517.84, 14,273.88 and 3,673.36

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Solution

The fourth proportional to 9,517.84, 14,273.88 and 3,673.36 is: 5,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.84 : 14,273.88 = 3,673.36 : x
  2. Step 2: Convert to fraction form
    9,517.84/14,273.88 = 3,673.36/x
  3. Step 3: Cross multiply
    9,517.84x = 14,273.88 × 3,673.36
  4. Step 4: Simplify right side
    9,517.84x = 52,433,099.84
  5. Step 5: Solve for x
    x = 52,433,099.84/9,517.84
  6. Step 6: Final answer
    x = 5,508.93

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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.