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Finding the Fourth Proportional to 6,863.06, 9,467.85 and 4,029.53

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Solution

The fourth proportional to 6,863.06, 9,467.85 and 4,029.53 is: 5,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.06 : 9,467.85 = 4,029.53 : x
  2. Step 2: Convert to fraction form
    6,863.06/9,467.85 = 4,029.53/x
  3. Step 3: Cross multiply
    6,863.06x = 9,467.85 × 4,029.53
  4. Step 4: Simplify right side
    6,863.06x = 38,151,006.64
  5. Step 5: Solve for x
    x = 38,151,006.64/6,863.06
  6. Step 6: Final answer
    x = 5,558.89

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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.