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Finding the Fourth Proportional to 9,201.01, 12,697.70 and 5,168.55

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Solution

The fourth proportional to 9,201.01, 12,697.70 and 5,168.55 is: 7,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.01 : 12,697.70 = 5,168.55 : x
  2. Step 2: Convert to fraction form
    9,201.01/12,697.70 = 5,168.55/x
  3. Step 3: Cross multiply
    9,201.01x = 12,697.70 × 5,168.55
  4. Step 4: Simplify right side
    9,201.01x = 65,628,671.49
  5. Step 5: Solve for x
    x = 65,628,671.49/9,201.01
  6. Step 6: Final answer
    x = 7,132.77

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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.