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Finding the Fourth Proportional to 6,142.66, 9,223.24 and 3,688.48

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Solution

The fourth proportional to 6,142.66, 9,223.24 and 3,688.48 is: 5,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.66 : 9,223.24 = 3,688.48 : x
  2. Step 2: Convert to fraction form
    6,142.66/9,223.24 = 3,688.48/x
  3. Step 3: Cross multiply
    6,142.66x = 9,223.24 × 3,688.48
  4. Step 4: Simplify right side
    6,142.66x = 34,019,736.28
  5. Step 5: Solve for x
    x = 34,019,736.28/6,142.66
  6. Step 6: Final answer
    x = 5,538.27

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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.