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Finding the Fourth Proportional to 6,863.01, 9,463.43 and 4,468.56

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Solution

The fourth proportional to 6,863.01, 9,463.43 and 4,468.56 is: 6,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.01 : 9,463.43 = 4,468.56 : x
  2. Step 2: Convert to fraction form
    6,863.01/9,463.43 = 4,468.56/x
  3. Step 3: Cross multiply
    6,863.01x = 9,463.43 × 4,468.56
  4. Step 4: Simplify right side
    6,863.01x = 42,287,904.76
  5. Step 5: Solve for x
    x = 42,287,904.76/6,863.01
  6. Step 6: Final answer
    x = 6,161.71

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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.