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Finding the Fourth Proportional to 36,209.60, 54,314.40 and 9,914.30

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Solution

The fourth proportional to 36,209.60, 54,314.40 and 9,914.30 is: 14,871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,209.60 : 54,314.40 = 9,914.30 : x
  2. Step 2: Convert to fraction form
    36,209.60/54,314.40 = 9,914.30/x
  3. Step 3: Cross multiply
    36,209.60x = 54,314.40 × 9,914.30
  4. Step 4: Simplify right side
    36,209.60x = 538,489,255.92
  5. Step 5: Solve for x
    x = 538,489,255.92/36,209.60
  6. Step 6: Final answer
    x = 14,871.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.