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Finding the Fourth Proportional to 9,200.20, 12,707.92 and 8,002.84

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Solution

The fourth proportional to 9,200.20, 12,707.92 and 8,002.84 is: 11,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.20 : 12,707.92 = 8,002.84 : x
  2. Step 2: Convert to fraction form
    9,200.20/12,707.92 = 8,002.84/x
  3. Step 3: Cross multiply
    9,200.20x = 12,707.92 × 8,002.84
  4. Step 4: Simplify right side
    9,200.20x = 101,699,450.49
  5. Step 5: Solve for x
    x = 101,699,450.49/9,200.20
  6. Step 6: Final answer
    x = 11,054.05

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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.