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Finding the Fourth Proportional to 9,202.18, 12,697.28 and 5,426.54

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Solution

The fourth proportional to 9,202.18, 12,697.28 and 5,426.54 is: 7,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.18 : 12,697.28 = 5,426.54 : x
  2. Step 2: Convert to fraction form
    9,202.18/12,697.28 = 5,426.54/x
  3. Step 3: Cross multiply
    9,202.18x = 12,697.28 × 5,426.54
  4. Step 4: Simplify right side
    9,202.18x = 68,902,227.54
  5. Step 5: Solve for x
    x = 68,902,227.54/9,202.18
  6. Step 6: Final answer
    x = 7,487.60

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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.