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Finding the Fourth Proportional to 7,067.46, 9,752.80 and 3,923.86

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Solution

The fourth proportional to 7,067.46, 9,752.80 and 3,923.86 is: 5,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.46 : 9,752.80 = 3,923.86 : x
  2. Step 2: Convert to fraction form
    7,067.46/9,752.80 = 3,923.86/x
  3. Step 3: Cross multiply
    7,067.46x = 9,752.80 × 3,923.86
  4. Step 4: Simplify right side
    7,067.46x = 38,268,621.81
  5. Step 5: Solve for x
    x = 38,268,621.81/7,067.46
  6. Step 6: Final answer
    x = 5,414.76

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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.