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Finding the Fourth Proportional to 6,318.96, 9,471.23 and 3,848.31

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Solution

The fourth proportional to 6,318.96, 9,471.23 and 3,848.31 is: 5,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.96 : 9,471.23 = 3,848.31 : x
  2. Step 2: Convert to fraction form
    6,318.96/9,471.23 = 3,848.31/x
  3. Step 3: Cross multiply
    6,318.96x = 9,471.23 × 3,848.31
  4. Step 4: Simplify right side
    6,318.96x = 36,448,224.31
  5. Step 5: Solve for x
    x = 36,448,224.31/6,318.96
  6. Step 6: Final answer
    x = 5,768.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.