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Finding the Fourth Proportional to 7,177.95, 9,906.84 and 4,523.31

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Solution

The fourth proportional to 7,177.95, 9,906.84 and 4,523.31 is: 6,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.95 : 9,906.84 = 4,523.31 : x
  2. Step 2: Convert to fraction form
    7,177.95/9,906.84 = 4,523.31/x
  3. Step 3: Cross multiply
    7,177.95x = 9,906.84 × 4,523.31
  4. Step 4: Simplify right side
    7,177.95x = 44,811,708.44
  5. Step 5: Solve for x
    x = 44,811,708.44/7,177.95
  6. Step 6: Final answer
    x = 6,242.97

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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.