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Finding the Fourth Proportional to 9,617.28, 13,273.92 and 5,640

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Solution

The fourth proportional to 9,617.28, 13,273.92 and 5,640 is: 7,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.28 : 13,273.92 = 5,640 : x
  2. Step 2: Convert to fraction form
    9,617.28/13,273.92 = 5,640/x
  3. Step 3: Cross multiply
    9,617.28x = 13,273.92 × 5,640
  4. Step 4: Simplify right side
    9,617.28x = 74,864,908.80
  5. Step 5: Solve for x
    x = 74,864,908.80/9,617.28
  6. Step 6: Final answer
    x = 7,784.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.