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Finding the Fourth Proportional to 6,863.50, 9,468.46 and 4,029.96

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Solution

The fourth proportional to 6,863.50, 9,468.46 and 4,029.96 is: 5,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.50 : 9,468.46 = 4,029.96 : x
  2. Step 2: Convert to fraction form
    6,863.50/9,468.46 = 4,029.96/x
  3. Step 3: Cross multiply
    6,863.50x = 9,468.46 × 4,029.96
  4. Step 4: Simplify right side
    6,863.50x = 38,157,515.06
  5. Step 5: Solve for x
    x = 38,157,515.06/6,863.50
  6. Step 6: Final answer
    x = 5,559.48

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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.