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Finding the Fourth Proportional to 8,909.60, 13,396.80 and 8,715.20

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Solution

The fourth proportional to 8,909.60, 13,396.80 and 8,715.20 is: 13,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.60 : 13,396.80 = 8,715.20 : x
  2. Step 2: Convert to fraction form
    8,909.60/13,396.80 = 8,715.20/x
  3. Step 3: Cross multiply
    8,909.60x = 13,396.80 × 8,715.20
  4. Step 4: Simplify right side
    8,909.60x = 116,755,791.36
  5. Step 5: Solve for x
    x = 116,755,791.36/8,909.60
  6. Step 6: Final answer
    x = 13,104.49

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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.