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Finding the Fourth Proportional to 9,177.12, 12,662.34 and 5,197.32

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Solution

The fourth proportional to 9,177.12, 12,662.34 and 5,197.32 is: 7,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.12 : 12,662.34 = 5,197.32 : x
  2. Step 2: Convert to fraction form
    9,177.12/12,662.34 = 5,197.32/x
  3. Step 3: Cross multiply
    9,177.12x = 12,662.34 × 5,197.32
  4. Step 4: Simplify right side
    9,177.12x = 65,810,232.93
  5. Step 5: Solve for x
    x = 65,810,232.93/9,177.12
  6. Step 6: Final answer
    x = 7,171.12

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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.