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Finding the Fourth Proportional to 9,273.24, 12,802.56 and 5,921.28

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Solution

The fourth proportional to 9,273.24, 12,802.56 and 5,921.28 is: 8,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.24 : 12,802.56 = 5,921.28 : x
  2. Step 2: Convert to fraction form
    9,273.24/12,802.56 = 5,921.28/x
  3. Step 3: Cross multiply
    9,273.24x = 12,802.56 × 5,921.28
  4. Step 4: Simplify right side
    9,273.24x = 75,807,542.48
  5. Step 5: Solve for x
    x = 75,807,542.48/9,273.24
  6. Step 6: Final answer
    x = 8,174.87

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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.