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Finding the Fourth Proportional to 6,472.85, 9,706.23 and 2,961.86

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Solution

The fourth proportional to 6,472.85, 9,706.23 and 2,961.86 is: 4,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.85 : 9,706.23 = 2,961.86 : x
  2. Step 2: Convert to fraction form
    6,472.85/9,706.23 = 2,961.86/x
  3. Step 3: Cross multiply
    6,472.85x = 9,706.23 × 2,961.86
  4. Step 4: Simplify right side
    6,472.85x = 28,748,445.86
  5. Step 5: Solve for x
    x = 28,748,445.86/6,472.85
  6. Step 6: Final answer
    x = 4,441.39

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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.