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Finding the Fourth Proportional to 6,863.42, 9,471.02 and 4,030.92

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Solution

The fourth proportional to 6,863.42, 9,471.02 and 4,030.92 is: 5,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.42 : 9,471.02 = 4,030.92 : x
  2. Step 2: Convert to fraction form
    6,863.42/9,471.02 = 4,030.92/x
  3. Step 3: Cross multiply
    6,863.42x = 9,471.02 × 4,030.92
  4. Step 4: Simplify right side
    6,863.42x = 38,176,923.94
  5. Step 5: Solve for x
    x = 38,176,923.94/6,863.42
  6. Step 6: Final answer
    x = 5,562.38

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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.