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Finding the Fourth Proportional to 6,863.64, 9,471.80 and 3,719.82

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Solution

The fourth proportional to 6,863.64, 9,471.80 and 3,719.82 is: 5,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.64 : 9,471.80 = 3,719.82 : x
  2. Step 2: Convert to fraction form
    6,863.64/9,471.80 = 3,719.82/x
  3. Step 3: Cross multiply
    6,863.64x = 9,471.80 × 3,719.82
  4. Step 4: Simplify right side
    6,863.64x = 35,233,391.08
  5. Step 5: Solve for x
    x = 35,233,391.08/6,863.64
  6. Step 6: Final answer
    x = 5,133.34

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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.