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Finding the Fourth Proportional to 6,992.28, 9,650.40 and 4,475.64

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Solution

The fourth proportional to 6,992.28, 9,650.40 and 4,475.64 is: 6,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.28 : 9,650.40 = 4,475.64 : x
  2. Step 2: Convert to fraction form
    6,992.28/9,650.40 = 4,475.64/x
  3. Step 3: Cross multiply
    6,992.28x = 9,650.40 × 4,475.64
  4. Step 4: Simplify right side
    6,992.28x = 43,191,716.26
  5. Step 5: Solve for x
    x = 43,191,716.26/6,992.28
  6. Step 6: Final answer
    x = 6,177.06

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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.