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Finding the Fourth Proportional to 9,201.02, 12,697.71 and 5,168.55

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Solution

The fourth proportional to 9,201.02, 12,697.71 and 5,168.55 is: 7,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.02 : 12,697.71 = 5,168.55 : x
  2. Step 2: Convert to fraction form
    9,201.02/12,697.71 = 5,168.55/x
  3. Step 3: Cross multiply
    9,201.02x = 12,697.71 × 5,168.55
  4. Step 4: Simplify right side
    9,201.02x = 65,628,749.02
  5. Step 5: Solve for x
    x = 65,628,749.02/9,201.02
  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.