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Finding the Fourth Proportional to 8,847.64, 12,209.70 and 5,489.38

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Solution

The fourth proportional to 8,847.64, 12,209.70 and 5,489.38 is: 7,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.64 : 12,209.70 = 5,489.38 : x
  2. Step 2: Convert to fraction form
    8,847.64/12,209.70 = 5,489.38/x
  3. Step 3: Cross multiply
    8,847.64x = 12,209.70 × 5,489.38
  4. Step 4: Simplify right side
    8,847.64x = 67,023,682.99
  5. Step 5: Solve for x
    x = 67,023,682.99/8,847.64
  6. Step 6: Final answer
    x = 7,575.32

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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.