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Finding the Fourth Proportional to 6,429.78, 8,868.29 and 4,194.18

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Solution

The fourth proportional to 6,429.78, 8,868.29 and 4,194.18 is: 5,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.78 : 8,868.29 = 4,194.18 : x
  2. Step 2: Convert to fraction form
    6,429.78/8,868.29 = 4,194.18/x
  3. Step 3: Cross multiply
    6,429.78x = 8,868.29 × 4,194.18
  4. Step 4: Simplify right side
    6,429.78x = 37,195,183.58
  5. Step 5: Solve for x
    x = 37,195,183.58/6,429.78
  6. Step 6: Final answer
    x = 5,784.83

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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.