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Finding the Fourth Proportional to 6,128.60, 9,193.20 and 3,212.60

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Solution

The fourth proportional to 6,128.60, 9,193.20 and 3,212.60 is: 4,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.60 : 9,193.20 = 3,212.60 : x
  2. Step 2: Convert to fraction form
    6,128.60/9,193.20 = 3,212.60/x
  3. Step 3: Cross multiply
    6,128.60x = 9,193.20 × 3,212.60
  4. Step 4: Simplify right side
    6,128.60x = 29,534,074.32
  5. Step 5: Solve for x
    x = 29,534,074.32/6,128.60
  6. Step 6: Final answer
    x = 4,819.06

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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.