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Finding the Fourth Proportional to 9,200.81, 12,697.20 and 5,221.95

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Solution

The fourth proportional to 9,200.81, 12,697.20 and 5,221.95 is: 7,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.81 : 12,697.20 = 5,221.95 : x
  2. Step 2: Convert to fraction form
    9,200.81/12,697.20 = 5,221.95/x
  3. Step 3: Cross multiply
    9,200.81x = 12,697.20 × 5,221.95
  4. Step 4: Simplify right side
    9,200.81x = 66,304,143.54
  5. Step 5: Solve for x
    x = 66,304,143.54/9,200.81
  6. Step 6: Final answer
    x = 7,206.34

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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.