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Finding the Fourth Proportional to 7,223.72, 9,959.76 and 6,086.48

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Solution

The fourth proportional to 7,223.72, 9,959.76 and 6,086.48 is: 8,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.72 : 9,959.76 = 6,086.48 : x
  2. Step 2: Convert to fraction form
    7,223.72/9,959.76 = 6,086.48/x
  3. Step 3: Cross multiply
    7,223.72x = 9,959.76 × 6,086.48
  4. Step 4: Simplify right side
    7,223.72x = 60,619,830.25
  5. Step 5: Solve for x
    x = 60,619,830.25/7,223.72
  6. Step 6: Final answer
    x = 8,391.78

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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.