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Finding the Fourth Proportional to 9,200.77, 12,697.37 and 5,168.31

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Solution

The fourth proportional to 9,200.77, 12,697.37 and 5,168.31 is: 7,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.77 : 12,697.37 = 5,168.31 : x
  2. Step 2: Convert to fraction form
    9,200.77/12,697.37 = 5,168.31/x
  3. Step 3: Cross multiply
    9,200.77x = 12,697.37 × 5,168.31
  4. Step 4: Simplify right side
    9,200.77x = 65,623,855.02
  5. Step 5: Solve for x
    x = 65,623,855.02/9,200.77
  6. Step 6: Final answer
    x = 7,132.43

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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.