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Finding the Fourth Proportional to 6,671.12, 9,200.16 and 4,310.78

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Solution

The fourth proportional to 6,671.12, 9,200.16 and 4,310.78 is: 5,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.12 : 9,200.16 = 4,310.78 : x
  2. Step 2: Convert to fraction form
    6,671.12/9,200.16 = 4,310.78/x
  3. Step 3: Cross multiply
    6,671.12x = 9,200.16 × 4,310.78
  4. Step 4: Simplify right side
    6,671.12x = 39,659,865.72
  5. Step 5: Solve for x
    x = 39,659,865.72/6,671.12
  6. Step 6: Final answer
    x = 5,945.01

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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.