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Finding the Fourth Proportional to 9,202.41, 12,700.26 and 5,426.82

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Solution

The fourth proportional to 9,202.41, 12,700.26 and 5,426.82 is: 7,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.41 : 12,700.26 = 5,426.82 : x
  2. Step 2: Convert to fraction form
    9,202.41/12,700.26 = 5,426.82/x
  3. Step 3: Cross multiply
    9,202.41x = 12,700.26 × 5,426.82
  4. Step 4: Simplify right side
    9,202.41x = 68,922,024.97
  5. Step 5: Solve for x
    x = 68,922,024.97/9,202.41
  6. Step 6: Final answer
    x = 7,489.56

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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.