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Finding the Fourth Proportional to 6,429.78, 8,871.93 and 6,101.73

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Solution

The fourth proportional to 6,429.78, 8,871.93 and 6,101.73 is: 8,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.78 : 8,871.93 = 6,101.73 : x
  2. Step 2: Convert to fraction form
    6,429.78/8,871.93 = 6,101.73/x
  3. Step 3: Cross multiply
    6,429.78x = 8,871.93 × 6,101.73
  4. Step 4: Simplify right side
    6,429.78x = 54,134,121.44
  5. Step 5: Solve for x
    x = 54,134,121.44/6,429.78
  6. Step 6: Final answer
    x = 8,419.28

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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.