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Finding the Fourth Proportional to 7,182.32, 9,912.77 and 4,197.58

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Solution

The fourth proportional to 7,182.32, 9,912.77 and 4,197.58 is: 5,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.32 : 9,912.77 = 4,197.58 : x
  2. Step 2: Convert to fraction form
    7,182.32/9,912.77 = 4,197.58/x
  3. Step 3: Cross multiply
    7,182.32x = 9,912.77 × 4,197.58
  4. Step 4: Simplify right side
    7,182.32x = 41,609,574.54
  5. Step 5: Solve for x
    x = 41,609,574.54/7,182.32
  6. Step 6: Final answer
    x = 5,793.33

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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.