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Finding the Fourth Proportional to 9,166.96, 12,650.38 and 4,975.21

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Solution

The fourth proportional to 9,166.96, 12,650.38 and 4,975.21 is: 6,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.96 : 12,650.38 = 4,975.21 : x
  2. Step 2: Convert to fraction form
    9,166.96/12,650.38 = 4,975.21/x
  3. Step 3: Cross multiply
    9,166.96x = 12,650.38 × 4,975.21
  4. Step 4: Simplify right side
    9,166.96x = 62,938,297.08
  5. Step 5: Solve for x
    x = 62,938,297.08/9,166.96
  6. Step 6: Final answer
    x = 6,865.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.