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Finding the Fourth Proportional to 8,962.86, 12,372.09 and 7,698.84

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Solution

The fourth proportional to 8,962.86, 12,372.09 and 7,698.84 is: 10,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.86 : 12,372.09 = 7,698.84 : x
  2. Step 2: Convert to fraction form
    8,962.86/12,372.09 = 7,698.84/x
  3. Step 3: Cross multiply
    8,962.86x = 12,372.09 × 7,698.84
  4. Step 4: Simplify right side
    8,962.86x = 95,250,741.38
  5. Step 5: Solve for x
    x = 95,250,741.38/8,962.86
  6. Step 6: Final answer
    x = 10,627.27

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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.