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Finding the Fourth Proportional to 6,314.82, 8,716.24 and 4,426.92

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Solution

The fourth proportional to 6,314.82, 8,716.24 and 4,426.92 is: 6,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.82 : 8,716.24 = 4,426.92 : x
  2. Step 2: Convert to fraction form
    6,314.82/8,716.24 = 4,426.92/x
  3. Step 3: Cross multiply
    6,314.82x = 8,716.24 × 4,426.92
  4. Step 4: Simplify right side
    6,314.82x = 38,586,097.18
  5. Step 5: Solve for x
    x = 38,586,097.18/6,314.82
  6. Step 6: Final answer
    x = 6,110.40

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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.