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Finding the Fourth Proportional to 6,277.14, 8,671.46 and 5,016.54

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Solution

The fourth proportional to 6,277.14, 8,671.46 and 5,016.54 is: 6,930.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.14 : 8,671.46 = 5,016.54 : x
  2. Step 2: Convert to fraction form
    6,277.14/8,671.46 = 5,016.54/x
  3. Step 3: Cross multiply
    6,277.14x = 8,671.46 × 5,016.54
  4. Step 4: Simplify right side
    6,277.14x = 43,500,700.87
  5. Step 5: Solve for x
    x = 43,500,700.87/6,277.14
  6. Step 6: Final answer
    x = 6,930.02

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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.