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Finding the Fourth Proportional to 6,452.64, 9,672.43 and 4,372.86

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Solution

The fourth proportional to 6,452.64, 9,672.43 and 4,372.86 is: 6,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.64 : 9,672.43 = 4,372.86 : x
  2. Step 2: Convert to fraction form
    6,452.64/9,672.43 = 4,372.86/x
  3. Step 3: Cross multiply
    6,452.64x = 9,672.43 × 4,372.86
  4. Step 4: Simplify right side
    6,452.64x = 42,296,112.02
  5. Step 5: Solve for x
    x = 42,296,112.02/6,452.64
  6. Step 6: Final answer
    x = 6,554.85

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Why These Related Problems?

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