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Finding the Fourth Proportional to 9,517.54, 14,273.17 and 3,277.40

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Solution

The fourth proportional to 9,517.54, 14,273.17 and 3,277.40 is: 4,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.54 : 14,273.17 = 3,277.40 : x
  2. Step 2: Convert to fraction form
    9,517.54/14,273.17 = 3,277.40/x
  3. Step 3: Cross multiply
    9,517.54x = 14,273.17 × 3,277.40
  4. Step 4: Simplify right side
    9,517.54x = 46,778,887.36
  5. Step 5: Solve for x
    x = 46,778,887.36/9,517.54
  6. Step 6: Final answer
    x = 4,915.02

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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.