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Finding the Fourth Proportional to 6,863.22, 9,471.18 and 3,719.40

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Solution

The fourth proportional to 6,863.22, 9,471.18 and 3,719.40 is: 5,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.22 : 9,471.18 = 3,719.40 : x
  2. Step 2: Convert to fraction form
    6,863.22/9,471.18 = 3,719.40/x
  3. Step 3: Cross multiply
    6,863.22x = 9,471.18 × 3,719.40
  4. Step 4: Simplify right side
    6,863.22x = 35,227,106.89
  5. Step 5: Solve for x
    x = 35,227,106.89/6,863.22
  6. Step 6: Final answer
    x = 5,132.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.