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Finding the Fourth Proportional to 6,386.38, 9,571.46 and 2,872.64

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Solution

The fourth proportional to 6,386.38, 9,571.46 and 2,872.64 is: 4,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.38 : 9,571.46 = 2,872.64 : x
  2. Step 2: Convert to fraction form
    6,386.38/9,571.46 = 2,872.64/x
  3. Step 3: Cross multiply
    6,386.38x = 9,571.46 × 2,872.64
  4. Step 4: Simplify right side
    6,386.38x = 27,495,358.85
  5. Step 5: Solve for x
    x = 27,495,358.85/6,386.38
  6. Step 6: Final answer
    x = 4,305.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.